I don't think you need a current medical but if you fly actively (manned aircraft) you do need one. Yes, you need to have done a BFR in the last 2 years. See the link below:
Becoming a Pilot
Contact your local FSDO for the forms. It's faster. I received mine in a couple days. Make sure to get at least 2 in case you screw up on the first one.
When I spoke to the lady at the FSDO she said it would be a different certificate #. She said it's not like a rating on your current certificate. So we would have 2 certificates.
I called the FSDO up on Monday for an appt. and they told me the inspectors won't be around til next month. I contacted a CFI but waiting for him to get back to me. :(
Just got off the phone with the FSDO. They said inspector won't be available til next month. :( The CFI I did my BFR with went to the airlines so he's no longer around. I'll probably just find a CFI at my local flight club to the sign off. :)