Adt alarm not set but stars bleeping randomly, was happening occastionaly every couple of days but now every 10 minutes or so, also green light constantly flashing

Can you provide a picture of the keypad or a model number.
Try pressing *2 and see what happens.

Also ADT has a great customer support, just call the number provided to you, as a customer they will already know your system. They can run a off site test of system, and also walk you though resetting the system and if that does not work, have you test to see what is wrong.

I have had serious issues with their marketing reps and other sales issues, But their customer service is great.