The previous plan:
The day trip to Munich on a weekday will either make the round trip on fast trains pricey or shorten your time there if you go with the regional trains and the cheap Bayern ticket. Very little time and daylight hours are short.
The Lauterbrunnen to Nuremberg journey is super long, makes me go ugh. Sadly, the trip is so long that there is no time to squeeze in a visit to Munich on this day either.
I doubt you can fit in all those Rhine destinations as planned. At least not very comfortably.
You asked how I would arrange it...
10-24... The Rhine Valley railway is the fast way north. I would visit the Rhine first. The 10:32 departure from Lauterbrunnen to MAINZ is just 5.75 hrs vs. 7.75 hrs to Nuremberg and €50 cheaper for 5... current price, €149.50. Add 30 minutes and €21.30 for 5 adults on a local RNN ticket to reach BINGEN, the gateway to the Rhine and a good place for one night. The riverfront NH Bingen is a great hotel choice near the Bingen Hbf station. Take a walk along the river promenade to enjoy the river scene, find some dinner.
Alternatively, stay in Mainz. Nice city. The short train ride to Bingen can be done the next morning. But the Bingen riverfront scenery is very nice.
https://live.staticflickr.com/1909/44484284964_9b382de042_b.jpg
As before the above ticket from Lauterbrunnen is a SAVER FARE and should be pre-purchased ASAP for the best price - note refund policy!
The rest of your train rides would get purchased as you go... as before.
Suggested breakdown of nights beginning on the 25th:
25-27: 3 nights in Boppard
28-30: 3 nights in Nuremberg
31: 1 night in Rothenburg
1: 1 night in Frankfurt
Rough-out for the following days... NOT all details are provided.
10-25... After breakfast, check out by 10:30 and use the Bingen Rüdesheimer Rhine cruise boat at 11 am to enter the Rhine Valley for the first time, a better way to enjoy the scenery. Arrive 1 pm in St. Goar. Move on to Boppard by train... 10 minutes, €4 each. Maybe take the chairlift ride after checking in. Stay 3 nights in Boppard.
10-26... train to Bacharach, back to St. Goar for Rheinfels. VRM guest ticket plus supplemental tix to Bacharach.
10-27... train and bus to Burg Eltz, back to Boppard. VRM guest ticket covers all.
10-28... check out, take train 9:12 - 9:27 to Koblenz, stow bags in locker. Train to Braubach 9:52 - 10:05 for Marksburg tour. Return to Koblenz whenever. Pick up to-go food and drink at Koblenz station for the PM train from Koblenz to Nuremberg... 15:04 - 20:54 on regional trains only. The QdL Ticket at €70 for 5 adults covers ALL trains this day. Check into Nuremberg hotel for 3 nights.
10-29... Day trip to Munich... Bayern ticket on regional trains can be used at any hour on Sat or Sun so get up WAY early today.
10-30... Day in Nuremberg
10-31... Travel to Rothenburg on the VGN Tagesticket Plus daypasses at any hour.
11-1... Travel to Frankfurt on regional trains with the QdL day pass anytime after 9 am
11-2... RMV tickets to FRA airport on the S-Bahn