I can see that!
Aw, no. No pushing away! I don't think Caroline will let him push her away. I think they'll have issues regarding the full moon, but in the end, he'll relent and let her stay.
They're going to enough enough external forces pushing them apart that I think they're going to need to hold onto each other, and need each other way too much for that to happen.
I agree. We know how Tyler feels and it's not just friendly feelings. If they were already FWB, then maybe I could buy a jealousy angle, but they're not. And FWB implies non-feelings, no-strings attached.
I can't see Caroline, Queen of Romance and True Love, being all, "Hey, let's just do it whenever we feel like it."
True, Caroline has had lovers in the past, but she didn't want FWB with Matt, and her other interactions with guys have proved that she didn't just want a one night thing. I don't think she ever has. Just because she enjoys sex doesn't mean she wants sex without committment.
ETA:
I'm sure once we have the episode descriptions it will be easier to figure out. For example, I could see the 3x02 description going something like this.