Pull the unit and see if it really is faulty wiring; could be that the antenna isn't plugged in all the way. If it is, then buy a cheap antenna and start troubleshooting. If it works, then it's a faulty antenna, if not, then the stereo itself is bad.
We had the same problem with the Jensen unit in our 2005 hybrid, and that's how I found out the stereo itself was bad. Even with a new antenna, I still couldn't get any radio stations. I found a stereo on sale at a big box store, that was further discounted as an open-box -- someone bought it and returned it -- so I got it even cheaper. I installed it and threw the Jensen unit out.
Geoff & Jill
& Sierra, the little white monster
2013 Ford F-150 XTR SC Ecoboost
2015 Jayco Jay Flight 24FBS