From my experience, The A/C readings you showed in the pictures indicate to me that either your compressor is not engaging, or it is drastcally low in charge. Now you have said that you had a shop replace the compressor, then you changed it. Did you add any refrigerant oil to it when you did the repairs? If you didn't put any oil in the system it will not function right. What I would recommend doing is to buy, rent, or borrow a refrigerant vacuum pump and put the entire system under a deep vacuum(as close to 29" to 30" as possible). Then let the system sit for about 10 to 15 minutes and see if the pressure rises. That will indicate a system leak. If it leaks tighten all fittings, replace seals accordingly and test it again. Once the pressure stops rising then add one can of oil charge followed by the correct refrigerant charge. Best way to do that with the gauge set you have is too hook up the refrigerant bottles to the main yellow hose and hook it up to the connection with the shrader valve. Than get a separate bottle tap and shorter hose and attach it to the connection without the shrader valve. Once the oil charge is in close the bottle tap valve and then open the refrigerant bottle tap valve and charge the refrigerant. This will both clear your lines and ensure all the oil gets in the system. Charge the system to normal level and see what happens, this should fix it. Hope this helps.