We do have a single line phone in the closet with the phone patch bays and Adtran. I'll have the service guy show me what to do. I don't see any free RJ-11 jacks to plug into.

I have been looking into the cost of purchasing a new "real" system, but we are on a very tight budget.

With only one phone connected, I did switch lines (two sets of pairs to each phone) to see if it was the phones, but the problem shifted with the cables, so I'm pretty sure the problem it isn't in phones, but it could be a faulty contact on the patch bay, but I get confused trying to figure out how they wired it up.