Can my one month be teething?

Brittney

I swear my one month old is teething. He constantly drools everywhere, cries, fussiness, I feed him and after he's done he cries and starts to suck on his hard or my skin. When he does this I think he is still hungry and try to give him his bottle he cries and pushes it away. He's obsessed with his pacifier now. He can't sleep without sucking on it. Should I talk to his pediatrician about it, and could they tell me if he js?