Asd relay gets hot kill motor wont start till relay coolsoff then motor will run

What is your question?

I bought my car drove it home. It run good,has a good clutch,shift in all 5 gears,was great on gas mileage,the car can get up and go when it wanted to. Then on the second day of owning it water pump seized up broken the timing belt. On the 3rd day I had my local mechanic tow my car to his shop. Took them 2 months to get it back in time and running right. I pay them for there work. Next morning I drove to town then car acted like it was going to die. I'll just ram up the engine it usually went back to normal. On that afternoon driving home the engine just die and won't start back up. I open the hood check everything I notice a relay was hot at touch. I found on it was the auto shut down relay. The car seat for 10 mins and the asd relay cooled off i turn the key it started right up drove normal then 3 hrs later it happens again over and over. I called my mechanic told what go on he came tow it to his shop it been in the shop over a year now they can't figure it out why asd relay be hot.

What makes this problem better or worse?

When asd relay hot won't run when asd relay cold it runs and drive good till the relay gets hot motor shut down

How long has your 2005 Chrysler PT Cruiser had this problem?

It still in the shop they can't figure it out why been a year and two months now and still counting