RVR, yes her hours can be looged, I have notched up quite a few in the US, not sure what the 'to a point is'? Maybe you can clarify as I may be missing something.
You will also need to apply for an FAA licence to fly. You can apply at any Flight Standards Office, take in your PPL and medical certificate and they issue you one over the counter in 10 minutes - can you imgaine the CAA doing that!
It is valid for 90 days and you should get your new one in the post in that time. If you were training over there (ie PPL then your medical actually counts as your licence as it is endorsed on the back by the CFI, again only lasts 90 days though.
Julian.