Is my son teething?

He's been biting on his bottle when he eats and keeping his fingers in his mouth lately. He's also starting to get cranky and fight his naps.

This is his bottom gums.

He's 6 months old. But he was premature so his age is adjusted by 3 months. Wouldn't it be too early for him since he wasn't technically due until October?

I understand these could probably just be things he's doing because he's getting older too.. quite a few people said it looks like he is. But idk what to look for..