Yes. Things have moved very slowly the past two weeks so they may have had trouble organizing the next steps.

Absolutely! I would word it to say that you're chekcing in, still interested and was hoping to get a status update. recruiters usually reply.

I applied for a job a few weeks ago and had a phone/screening interview with a recruiter on Dec 20th. Is it ok to send a short email now reiterating my interest in the position?