I have been dealing with similar ongoing problems where my OPII stopped communicating over IP, outdoor temperature indications drop to zero, a T-Stat failed following a power outage. I have tried many solutions- see my other postings if interested.
Some ideas specific to your posting:
One possibility hinted at by others is possible induced transients from the sensor cables. You might try pulling off each terminal strip and testing between ground and the disconnected passive sensor devices to see if you measure any voltage or low resistance to ground. The pool pump starting mentioned above could cause variations in the voltage to the panel but also could induce a transient voltage into the system. Grounded out sensors could lead to current loops between the OPII system ground and the individual input grounds.
Do you have any devices connected to the serial inputs? If so, have you tried leaving them disconnected to be sure they are not related to the problem?
To make it easier to troubleshoot devices that have multiple connections for power or communications connected in parallel such as t-stats and keypads you might want to shift those connections to power distribution strips similar to this:
http://www.mascon.com/atw/security-products/Accessories/Bus_TerminalThe_perfect_place_to_park_your_wires-BT600/
These let you pull off one or more at a time for troubleshooting with less chance of problems when reconnecting.
Another test: Set up the old OPII panel that you swapped out with just power and network to confirm that the resets continue with only power and network connections if you have not already tried that. If you need to mount the old OPII for testing you can buy just a Leviton cabinet plate for it.
If the old panel still resets and you then try resetting it all to defaults and problems persist you can then send it in to HAI for repair: $200. The problem I have is that after swapping the O2e in I just tested the OPII that I removed and the IP connection appears to have started working again. I am a bit hesitant to pay $200 for repair of an intermittent problem... I have both the old and new talking to Haiku Helper now; I'll be watching to see if either run into IP connection issues. The O2e I swapped in is connected to
exactly the same sensors, serial and IP devices that had been hooked to the OPII and has been working without incident for a week now.
The only difference is that I had to re-load the programming and shuffle around some of the addresses due to differences in the panels. But that doesn't explain the OPII IP problems even when I had deleted all configuration and just entered an IP address to test without luck.