Hi Janet -
While I've not taken the tour, I have been to the Amalfi/Sorrentine coastal region in very early October, so similar time of year as you'll be going. There is no way to accurately predict the weather. As well, people who traveled this past spring, or will throughout summer, might have different weather than you will. Do take a jacket; we needed them in the evenings and if the wind came up.
Here is a chart of last year's last-week-of-Sept. weather:
https://www.wunderground.com/history/weekly/it/naples/LIRN/date/2022-9-26
It looks like you have 2 free days in the region: Day 8 and Day 10. You can explore Sorrento and cruise the shops in the evening of Day 9 (the main part of town becomes largely pedestrian at night). Get some gelato and head over to Villa Comunale (it's a park) at dusk to watch the lights twinkle on all around the Bay of Naples from your lofty perch. Yep, that's Vesuvius over there in the distance.
https://www.sorrentoinsider.com/en/e/shopping-artisan-crafts-sorrento
https://www.sorrentoreview.com/villa-comunale-park.html
On Day 10, I'd take a ferry to Capri IF the weather is cooperative; it's not a a trip I'd make in rain. You do NOT need a tour and, personally, I'd give the Blue Grotto a skip. It's not worth it for the very little time inside, and there are many complaints about boatmen hassling people for tips. There is some really fun trekking around the island, and you should take the bus up to Anacapri for a lookabout the little village and to take the chairlift up to the top of Mt Solaro. There's also fun people-watching in both Capri and Anacapri's piazzas so pull up a seat, order a beverage, kick back and observe. :O)
https://www.capri.com/en/e/monte-solaro-high-drama
For interesting/scenic walks, I'll especially recommend these two:
https://www.capri.com/en/e/the-villas-of-tiberius
https://www.capri.com/en/e/pizzolungo-2
Again, you do not need a tour: just follow the instructions.
Restaurants: I'll leave that to other folks. We eat embarrassingly early so never had to make a reservation, just showed up at the opening hour, but we also didn't go to any fancy places. :O)
