A/C randomly reactivates itself
 

I noticed a strange thing in my A/C behavior. Let's say I turn A/C off by pushing the small fan button. The fan goes off and the display blacks out. Then, after a while, I shut the engine off. When I start it back after a while, A/C may or may not turn itself on. I don't see any pattern in its behavior. Did I miss something in the manual? Thanks!

Normal. If you shut the A/C off and restart ignition within 30 minutes, the A/C will stay off. Otherwise the A/C will automatically turn itself on every ignition.

^ it's not the A/C, but the fan. The A/C should retain the last setting (on/off) always. They thought it would be a good idea to have the fan on at startup even if you shut it off the night before.

^ ditto