The top moves with the doors open, that is not it. And, your problem is exactly what has come up before, there are numerous threads that all lead the same direction:
You are describing water intrusion in the trunk area. The security system flashes the lights on lock and unlock, if the security module gets wet, it often turns those lights on. Also, any water into the trunk and rear wheels wells can get into the top control module.

It is time for someone to take the trim out of the trunk and look for water in the modules and wiring. We can go from there.