Feedback on a modified 2-3 week itinerary for England? We modified to 16/17 days.

We did four weeks driving in England and S. Wales.
Bath is great, loved The Brooks Guesthouse and the Scallop Shell Restaurant (best fish and chips ever).
You don't want to drive to Oxford, parking is outside the city, suggest taking the train to Oxford, then rent a car and drive to SE England sites.
We did the Cotswolds staying in Chipping Campden at the Volunteer Inn using it was a base to see the Cotswolds, Oxford, Blenheim Palace and Stratford Upon Avon.
Liverpool, we were not wowed by that city, did enjoy going to North Wales.
The Lake District is great for hiking. by our favorite place in the North of England was York, we did three nights there. The Minster Hotel is great, has parking and is at a great location.

Just one very brief comment for tonight. Earlier I was updating IWM records relating to Central Liverpool, and did a quick search out of interest.
Just in the short distance across Pier Head between the Cruise Terminal and the Museum of Liverpool there are 43 war memorials- including ones to American, Canadian, Polish, Dutch, Norwegian and Belgian Armed Forces as well as the Chinese Merchant Seamen who served in WW2. Also a FEPOW and Arctic Convoy memorials.
I can't do a sub filter to see how many relate to which war but a lot in a very small area of the city.
To really understand the effects of the bombing on Liverpool Docks you really have to go to the other side (the Wirral side) of the River Mersey.
But you don't really have time for much of that.

This is all a bit whistlestop- two days in the whole Lake District (made more complicated if you decide to drive as is far too common, rather than do the sensible thing and use public transit), one day for the whole of North Yorkshire and little or no time in York. Quite an interesting itinerary. If it suits you then that's fine but some rationalisation may be better. The thing is there isn't an easy or popular way to trim this.

Sounds like you are planning a very nice trip to the UK! Here are a few thoughts from me:

• I definitely would take the train from Bath to Oxford, it's not worth dealing with a car
• If you want to stay car-free, you can go from Oxford to Moreton-in-Marsh on the train and see the Cotswolds from there (there are buses to help you get around the area- so you could be based in e.g. Stow-on-the-Wold)- or rent a car from outside Oxford
• If you want to condense Lake District/Hadrian's Wall/York- you could go from Liverpool to Carlisle (which is on the northern edge of Cumbria- not in the actual Lake District national park itself but still surrounded by similar scenery)- either by train or car- rather than Keswick. From there you can very easily both visit and walk Hadrian's Wall. The parts of the trail near Carlisle are definitely easy/moderate tho you won't see much of the actual wall. However, you'd be in very short driving distance of parts where you can see quite a bit of the wall- near the Roman Army Museum/Vindolanda/Housesteads. You can certainly walk that part of the trail too but I wouldn't consider it moderate! There are buses in this area if you want to stay car free (also taxi services). When you are ready to change location, you could then either drive or take the train from Carlisle to York.
• I would spend a few days in York rather than trying to see much of the rest of North Yorkshire. It's a beautiful city with loads to do- National Railway Museum, York Minster, the Jorvik Viking Centre, walking the walls, ghost tours, etc.
• There is so much to do in London, I don't know if I'd do a day trip. Windsor might be a good one since it's so close by and you can really visit in half a day.

I hope that was somewhat helpful, good luck getting your plans together!

Carlisle (my local city) is not at it's best at the moment due to a lot of construction work. The Southern Gateway project is being constructed outside the Citadel and the redevelopment of the Greenmarket is well under way with a lot of disruption in the area.

I saw a video recently where someone was saying that Carlisle was the second York, and he was serious. There is a lot of interest in the city if you do a modicum of research beforehand, or speak to the very nice staff at the TIC.

There is a usually very well priced Ibis just down Botchergate (but avoid on a Friday and Saturday night when the area is party central), and a Travelodge in the old Telephone Exchange- I've stayed there before (since Covid) for as little as £20, when on a very early train out. Literally outside the Railway station front door is the Station Hotel (quite a nice place). Or to push the boat out a bit there is the grand old Crown and Mitre Hotel in the City Centre. Expensive is relative, the C and M is expensive by city standards but not by Edinburgh, London or even York standards.
And quite a few good B and B's in or very close to the City Centre.

The direct bus service to Keswick from Carlisle is being enhanced again in two weeks time. And there is even a Carlisle to Edinburgh bus through the Scottish Borders- a long but very scenic route.

No sensible person would drive from Carlisle to York if doing it as a direct journey.

If you could stay longer, it would really help if you added another day each to London and York.

I would have a look at the Mad Max tours out of Bath. I think they do a day trip from Bath to the Cotswolds - ?which may be enough for you? Think trying to limit the amount of moving around/accommodations would help. Then maybe you could train it from Bath to Liverpool.

Just a word on the tours of Paul and John childhood homes. I've not yet managed to do this, despite having a brother who lives in the area. I think there are very few spots on these tours and I would suggest booking it as soon as you know your dates. My favourite trip in the area was to Another Place - by Antony Gormley at Crosby Beach. I went late afternoon one day in September when it was a bit drizzly and it was very atmospheric, gloomy and spooky

Edit to add. I've not looked at any previous Qs you have had, so this may have been covered already, but have you thought about 2-together railcards for each couple.

My husband and I were so glad to hear you're going to Liverpool to do the Beatles Tour through the National Trust. We're National Trust members and have been for years. Its an amazing organization to support especially if you love the history and natural areas of the UK like we do. It is so much less expensive as well to have an annual fee, we pay it through the American organization that was established by England's National Trust. Its called the The Royal Oak Foundation, out of NYC. But back to the tour... yes, you need to take care of booking your reservations now for the September date you want. It is always full and it is done so very well with an historian and a bus that takes you from different points that relate to Paul, John, George, and Ringo. It was one of the best half day tours we've ever been on, but we do adore "the lads". And I don't agree with what someone else here said about Liverpool. We stayed a couple of nights there and really enjoyed this wonderful city and its streets. Down on the waterfront is a wonderful museum to their ships and connection with the sea. As well as, an interesting museum dedicated by Yoko Ono to John Lennon. There's also a most unique and beautiful cathedral in Liverpool that you have to feast your eyes on, both inside and out!