Rear wheel wobbles with periodic sound
If you are getting multiple clicks per revolution wheel trueness (relating to even spoke tension) is not the issue here.  A bumpy ride in a car will not damage a wheel - spoked bicycle wheels are actually pretty strong. 

Wheel trueness is easy to check though. With wheel held off the ground spin the wheel and watch the rim relative to a convenient point such as the brake caliper pads. If you have disc brakes s piece of tape or a zip tie on a chain stay works well. Some wheels will have a little lateral or radial deviation, but if the rim isn’t hitting anything it’s not causing this problem.

A loose spoke would create a click once per wheel revolution so that’s not the problem either. 

I strongly suspect you have a problem with a bearing. Hold the wheel off the ground, grab the tire/rim and rotate the wheel. If you feel resistance, grinding or 'notchiness' there is a problem. Also try to push the rim back and forth laterally, there should not be any lateral movement or play. You can also take the wheel out and turn the axle by hand to feel for resistance, grinding, notchiness, or play

Next step is to determine what kind of hub you have and how to disassemble it to find out what broke.