I recently experienced the same thing. The Air Conditioning Auto mode would fail and then the autopilot would stop working correctly.
Earlier this year I built a new computer and used the ASUS Z87-Pro motherboard. About two months after I started using the new computer, the system time stopped being correct. I learned from several different forums that clock problems are fairly common on ASUS MBs. I contacted PMDG and Ryan indicated that they make extensive use of the internal system clock and are very aware of the ASUS clock issues. Some of the symptoms that you and I experienced are well known to them; however, I was apparently the first to directly report autopilot problems.
I downloaded and installed the latest BIOS and cleaned out the CMOS memory using the jumper procedure in the ASUS user guide. I have had no clock issues and no problems with PMDG airplanes since then.
It might be worth looking at the system clock as the culprit in your case.