Switching SIM from LG to Nokia Question????

Just have a question that I hope someone can answer. My old phone is a Nokia 6102. It has an FM radio in that I always used when I went to hockey games so I could listen to the game as it was happening. My current phone, an LG SHINE does not have the FM radio. Is it possible to switch the SIM from the Shine to the Nokia so I can use the Nokia at the games...thus carrying one phone instead of the 2 of them??? Does it matter that the SIM in my Shine is a 3g SIM and the Nokia is NOT a 3g phone?? Would it work?? Thanks in advance!