It sounds like you know what you're doing. I'm assuming you took out the back up battery when you unplugged it. I had a problem with the Pro-C a few years ago. 3-4 years I'm guessing. They were having odd problems like yours. Even brand new out of the box. I was hesitant to install one for a couple years. I'm now back to using them with no problems. There's one timer I've never had a problem with and I've installed many many. The Hunter SRC which is now the SRC Plus. I've never had to un-install one. I'd take it back. Look for a date inside the battery compartment. That's the manufacturing date. If it's still under warranty just take it back for an over the counter exchange. Meaning free. Good luck!
If I can't fix it, it's broken!