ah, yea you can diagnose your own stuff and do ALL the work yourself for about $450 with all the tools. thats compressor, refrigerant, vac, gauges, the works.
You can start with about $10 and find our why its not running
After going though the electrical stuff, and you think its the compressor, use a strip gauge oil tester to test the PAG oil for acid from burning. And a set of gauges to read the pressures. But thats AFTER you work on the electrical.
this could simply be a $20 part you can DIY yourself
First step is to see if the ambient air temp switch and the high/low pressure switch AND most probably the fan control is all working fine. you can jump them, look up the write up on it, simple and supper easy to do.
99.9% chance your charge and compressor are FINE
when compressors fail, they do not behave like this.
85-90% of ALL HVAC car or building issues are electrical.
Chances are that the fan is not coming on for some reason and the system shuts down to protect from too high pressures.
Start with a volt meter and a piece of wire. im not big on the 2015's or most of the newer cars but the principle is the same across the board on most cars. Jump the pins on the pressure switch and the fans should come on, Test the ohms on the ambient air temp sensor and so forth. Do a search here on the write up for your car.
Best of luck. and dont go back to that ripoff who wants to work on the system.
in the HVAC world, if you ever have a service and the tech starts with his set of gauges, FIRE HIS BUT off the job site.