There are no rules regarding competitor's use of radios in the Comp Regs.
For what it's worth to your concern, many club racers will intentionally program one of their radio channels to the race com frequency to be able to monitor that traffic, one just needs to be diligent to not transmit team communications on that radio channel.
As far as packages go, there are abundant used packages on various motorsports related classifieds sections or sites for considerably less than new. racingjunk.com is one good example. Just be careful about the vintage and do some research before you buy used if that's the route you go, to ensure you can get compatible wiring harnesses for the car.
The one recommendation I will make new or used is to look for a package with a 5 watt rating minimum, or you will have a limited range. The majority of the racer packages out there are oriented towards the short track racer, and typically have a 3 watt rating, which works fine when you can see the backstretch, but will have trouble with greater distances or geographic obstacles.
Regarding licensing, as Kerry stated it is required. He obviously knows a thing or two about radios. Now, I'm not trying to be contradictory for it's own sake, nor do I have anything against Kerry, but the reality is almost nobody does it, for what that's worth. One exception may be teams that install mobile units in the cars that typically have around a 40 watt rating. The reach of these is such that someone that matters may hear your coms, so it's probably prudent to follow through on the licensing at that point.