getting into project management – too early?

I need some advice on next my career move – I have business and computer science degree from university (graduated in 2005) and been working as a team lead / business analyst for an unix support team for last two years and been involved in a customer satisfaction improvement project (not a manager but worked under a PM). Right now, I want to make a move to PM. I am planning to take a masters certificate course on project management from a local university.

Q1. Do you think it is too early for me to make the move and rather do something else for the time being..(leave the course for later and hoping to get the employer pay for it) ?

Q2. Is the course going to help me land a PM job?

Please provide your advice/ suggestions. Thanks.