Try this:
If you're going to run all new cable, run plastic conduit. Also, get an exterminator. I had a rodent problem a while ago and while I was busy killing them(yes, I had to beat a few to a pulp that the traps and bait wouln't nail), the rest of the time I was random and entering the garage and making noise and turning on and off lights and doing other abusive behavior to keep the critters at bay and too scared to wreck my stuff.
2: Bypass the remote entirely. Since the fixtures are probably a little exposed, run fresh cabling, even if microphone cabling for testing purposes. That would rule out the cable.
I don't even want to get into further troubleshooting. I find clubs to be havens of neglect. If it ain't broke, uh, we'll break it eventually seems to be the rule.
Stages. Test logically. Test remote to 1 fixture. Repeat to each. This ensures the remote is either good or bad. Once working, attach that ONE "master" to a second via a cable. Move that cable to each other fixture. Make sure this works. Now put that cable to where it needs to be "permanently" and repeat by testing to the other two(one at a time). After three are wired, there's only one thing left to do. At this point, it should all be fine.
Conduit, kill the critters and protect what you can as much as you can. Mics can cause fires. Trust your gut, you can save a life and a business.