You are right to check the simple things first (e.g. alternator check). One simple thing that I would caution you to not overlook before you start chasing things, is the possibility that you just got a bad battery. It's not that unusual you know. Just take it in & tell them it's not holding a charge & chances are they'll just put in a new one at no charge, given it's only 2 months old.Thanks. I'll start with the alternator check to rule that out first.
When checking the current draw between the battery and battery cable, how long do you think it takes for all the normal systems which draw current to shut down?
If you can get that done, then you've removed one of your variables.... and can wait to see if this "newer" battery exhibits the same problems.... if not, you know it was the battery. If it does, then you can chase your current leak. (or you can go ahead & chase it now if you enjoy that kind of thing.... some like the challenge); and if you find no leak, then you've just gone about the same exercise in the reverse order. Good Luck either way (I'd be checking out that battery first, WITHOUT changing anything else, like your remote starter).