2007 crown vic

What is your question?

My problem is when i use my key remote to unlock the doors some times it works @ somestimes it won't.No problem with the remote because neither will work at times.I will unlock my door manually try to unlock trunk it won't open either.At the same time i will put the key in switch, normally it will make a bepping noise.It would not say anything.When the car is runnig the thermostat display will blink off @ on constantly.Please tell me what is the problem with my car.