1) Applying for a license -- you can probably ask your program admin about this and/or get on the internet and go to your state's medical board website -- the process should be outlined there.
2) You will need your own DEA number that will follow you around for the rest of your career -- you'll need your license first though.
3) "Get on the horn" is a US colloquial expression for "pick up the phone" but generally means contact the person entity yourself -- when I went into UC, I just drove around and took note of the major UC clinics, google searched their websites and there's usually a "physician/provider recruiting" type of link/tab -- follow the directions -- once your name gets out there, you'll have a lot of jobs thrown at you --- however, since you're rads, maybe not as much as FM but these places want cheap labor so a resident/NP/PA is always better than an attending since we're a little more costly. Facts of life, no offense intended.
FWIW -- be sure you check with your program/PD about moonlighting first -- it gets into the whole hours-worked thing and you can't go over so many hours as a resident -- plus there's liability for the program somewhat -- and recall, you'll be out there on your own and people won't care that you're a resident --- first patient out of the bag for me was a 4 y/o at 8AM on a Sunday who had managed to jam a large redwood splinter just below the surface of the skin into the bottom of her foot and was whimpering/crying in daddy's arms -- I had no topical and using injectable lidocaine was a non-start -- could barely get any grip on the splinter, had to barely use an 11blade to slightly open the skin so I could grab it -- almost called it and sent her to Children's so they could numb that thing and grab it when it slid free --- for every mundane URI, there's always a dog bite down to the bone, fractured collarbone from mountain biking who refuses to go to ortho, retained tampon/sextoy, acute tibial fracture, frank MI, 2 y/o with a smashed finger and/or head lacertion, etc.
Be ready ---