Dude, that's a bummer. Here is my experience and hopefully it will help. In 2012 I purchased my 2011 185 for significantly less than retail. What do I know about travel trailers? The original owners had it for less than a year and were taking a LARGE hit on price - caveat emptor. The visible problem was water leaking onto the back sill, just as you describe (non visible quality problems were aplenty to be discovered later). When we went to look at the trailer, in fact, there was a puddle. It appeared that someone (a three year old?) had caulked and recaulked the rear window, and it was obvious it was still leaking. Sellers sad it was the dealer, under warranty, and acted surprised it was still leaking. Hmmmm.
Anyway, the leak exhibited itself off and on for the rest of 2012. There was also water ending up in the aft pass through storage compartment (just for S&Gs, see if it's damp there on yours). Clearly, there was water flowing down the whole back panel.
I assumed it was still coming from the window. I removed all the old sealant and recaulked the rear window top, bottom, sides, the aft running lights, and installed some expensive flexible rv gutter over the window. The leak persisted, but maybe was not as bad. It just seems like a bad idea to have a window that wide (181 and 185 both have the back window) without a beak such as you would have on your chimney on a house. Back to the drawing board.
Without going into detail on this post, I removed the roof top air conditioner with the intention of installing a roof hatch. As I had began to suspect, the source of the leak is the AC. There is basically nothing there to keep water out of the laminate. The Dometic instructions talk about a flange or a seal, and also warn against installing the unit in a low spot on a roof. Well, the unit itself causes the roof to bow in some, and there is nothing there to keep the water out.
So, meandering story aside, you touched on what in my experience is the source of you TT's leak and possible ultimate demise - the AC. Once I replaced it with a properly sealed roof hatch, my leaks were all 100% gone. In fact, after the recent torrential rain we had (you probably had it too) the rear sill and the aft storage compartment were bone dry. Problem solved. I think the rain gutter over the window is also not a bad idea....I've got a bunch extra which I am willing to part with......but the main thing is to seal up or otherwise solve the problem at the AC. Another ding on heartland QC....
Next question, how much damage has been done? Mine leaked for ~20 months. I do not know enough about these things to make a good judgement. I am hopeful mine is still okay. There seems to be a gap between the actual fiberglass/backing and the underlying roof structure. Water can easily flow / wick down this gap, but it also means it can dry out relatively quickly. It is possible that you won't experience any delamination issues. I am going to risk it am keep my TT, I have spent a LOT of time and some money fixing quality control and design issues and I have her pretty close to where I want her now (except for the oxidation issue and a decent awning). She's set up very nicely for boondocking.
Good luck! Bottom line, everyone with leaks on the rear needs to examine their AC installation.