If it is less than a year old and you purchased it from Verizon, then you should check with them regarding warranty repair unless there is physical damage, which would necessitate insurance repair. SIM unlocking wouldn't have any effect on hardware defects, so if the fm radio broke, that wouldn't make any difference. It's also possible that Verizon is doing tower maintenance in your area, which could affect connectivity. Have you asked them why your connectivity has degraded?
You'll need to ask Verizon for assistance with these issues.