Call Waiting Setting Having No Effect and Company Lunch Call Group Cause Our Number Not to Work

Our phone rings twice before the automated attendant picks up. After complaints that this was too short a time, I doubled the "Forward call after" time from 30 seconds to 60. It was still too short, so I doubled it again, and again. It's currently set to 360 second yet the phone rings twice and the automated attendant picks up. I tried turning it off, no affect, turned it back on, still two rings and the attendant picks up. We are missing calls from customers because I can't seem to affect a basic setting in our phone system.

We also have a different call group setting for when we have company lunches where the phone doesn't ring to anybody's extension, instead an automated attendant picks up and a different message plays. During our last lunch, when we used this, a customer informed us that our number simply didn't work. When he called us it acted like our line had been disconnected. When I changed it back to the regular business hours call group, the phones rang fine. I haven't changed anything in the settings since we set it up years ago, when it worked fine then.