Could my 12 weeks old be teething?

Chasity

This past week my 12 week old has had difficulty taking naps during the day now 😕 Her bed time starts at 7 or 9 depending on how cranky she is. But during the day she sleeps for 5 minutes at a time and stays up for 1 1/2 hour and starts crying when she wakes up after only a 5 min nap. She sleeps through the night and wakes up on her own for milk. When I put her down she cries so hard and anyone who takes her from me (except her dad) she starts crying more. When I'm up and walking and she's in my arms shes happy but the second I put her down she cries. This only started this past week. She wasn't like this before. And now I have to rock her to sleep or walk with her in my arms and then put her in her crib. Before I would just swaddle her and put her in her bed and she would sleep on her own. 😕 On top of this she has devolped a bad cough, biting my hand, drooling like crazy and chewing on her hands every second she gets.

Is it possible she has started teething? Shes only 12 weeks old. These symptoms started developing 3 weeks back but her doctor said it's not possible for her to be teething now. (which I know isn't true) this week has just been a battle getting this kid to calm down. The past 2 days she has gotten worse in terms of crankiness. Any advice on what to do??