Hi jakleggs,
I may be able to help. I looked up your floor plan, if I have it correct you have the rear kitchen, front bedroom layout. Is that correct? The brochure is fuzzy and I cannot 100% insure I read the model number right.
If you are handy with wood tools and have basic wood working skills with time to do the work, this is all very fixable. Money wise, it is practical if you do the work. The materials are not that expensive but the labor will be high if hired out.
It sounds like you have a roof leak and possibly a corner molding leak. With the damage you describing water made it way down the wall and possible into the floor.
You can do a re-roof if wanted or you can do a partial roof. Odds are high the rear siding needs to come off, and maybe the right door side siding from the back wall to the entry door frame to address the wall rot and maybe into the floor system. While this sounds like a big deal, it really is not in the big picture of things. You would do this repair from outside the camper and fix the ceiling and wall board from the outside unless you have total wall board deterioration. This leaves the inside all intact and not damaged from yanking the cabinets etc out. They are screwed in from the outside.
The roof, I would not do a skylight, that will not fix the issue, there is no structure there to mount to. You can "carefully" remove the rear roof items to not damage the roof membrane and fold back the roof membrane, repair the bad wood under it, S1 resin treat partly damaged ceiling and wall board. Then using 1/8" luan plywood or 3/16" floor underlayment, create a roof sub straight screwed down to the rafters to glue the roof membrane back down too.
The rubber roof will shrink some when you undo the rear roof molding and the gutter rails to lift the membrane. You can repair that shrunk back wall section with Eternabond tape.
That can make a sound repair that will not leak. If you like the camper enough, a re-roof is very doable, it just takes more time.
This post can help on how to repair ceiling and wall board.
https://www.sunlineclub.com/forums/...d-wallboards-using-resin-treatment-20029.html
In the middle of that post are pics of a roof patch on a 2005 T264SR I did. That was a small leak but it was repaired in place. What you have is a large leak and the same concept on the roof part would be the same, just it may be all the way across the back of your roof and down the back wall into the floor. Odds are high water has wicked across the roof towards the shower.
This link to my Flickr pic site has more pics on that roof patch
https://www.flickr.com/photos/camper-johnb/sets/72157708097404854/
This post is for a total restore, it is much more then you would do, but it shows how the camper is built and what it would look like when you take the rear wall and right side wall siding off.
https://www.sunlineclub.com/forums/f71/2004-t1950-restoration-project-ugly-picture-heavy-17684.html
That link to the 2004 T1950 also talks about using a moisture meter. If you really want to know how far the water went under the floor, across the roof and down the rear wall, get a moisture meter like shown and it will tell you before you ever take the camper part. That can tell you if you want to deal with a project that large. This link has more on the meter.
https://www.sunlineclub.com/forums/f71/moisture-meters-for-inspecting-a-camper-17613.html
I am short on time right now, but will be back next week to answer any questions. Read up on this and see how it looks for you doing this. We can help with the how to, and the where to buy, just you need to do the work.
Hope this helps
John