As it turns our, the previous owner apparently never did the proper routine maintenance on the roof or the caulking. Because of that water got into places it shouldn't have hence the starting of the de-lamination.
I am having a local guy I trust clean and treat the roof as well as check all the caulking to ensure no more leaks. He said the caulking should be done every season and the roof treated every several years to prevent it from failing. If you stay on top of it, it is not all that expensive. Otherwise it can be big bucks to replace a rubber roof.
The dealer I purchase the fifth from claimed they had inspected and done what needed to be done as far as checking the roof and doing whatever caulking was required. Turns out not to be the case.
Lesson learned - you need to do your own thorough inspection before putting down any money. This is the second time I have been sold a fifth that was not exactly what was advertised. IMHO you are better off buying from a private party and either hiring someone you trust to inspect or taking the time to do it right yourself.
I was lucky this time in that the work to be done is not all the expensive but if I had let it go much long it would have been. Buyer beware.