Sounds like the "mechanic" does not know AC work. If he did not vacuum the system down that is one problem, then the way he added the oil is a good way to destroy the compressor the first time it starts is another. The line issue is another.
As for the "well it will get better once it runs a while" nope. The only part of that which is true would be that it will not be at its coldest output until the duct work is cooled down, which may take a few minutes if the vehicle is setting in the sun. The easy way to measure that is to use a simple thermometer. You put it in the center outlet, AC on high and max output. The temperature should be between 20 and 30 degrees colder than the ambient temperature. Larger the drop is the better the system is working.
Why were those parts changed out? If it was due to a compressor internal failure and the system was not flushed and tested it may have material from the failure blocking parts of the evaporator core or the expansion valve. The good thing about this car is those parts are easy to remove. See the two later images.
My suggestion would be to use a gauge set to check the pressures first, that will tell you if the compressor is still okay or not. Then recover the R134A that is in the system and vacuum it down. Hold it at full vacuum for at least an hour to pull the moisture and air out of the system, then close the valves and be sure it will hold vacuum. If it holds great, if it leaks the first place I would check would be the line he had trouble with. Then vacuum again if you had to do any repairs. If it holds vacuum. Recharge the system by weight, in this case 22 ounces of R134A while watching the pressures.
If the system is functioning properly it should be showing the 20-30 degree drop.
The first step in all cases will be to use a gauge set to see if the compressor is still okay. You would connect the gauge set to the high and low ports. Then with the AC on max you look at what the pressures are and compare them. Ideally you want to see pressures as shown in the attached image.
This does give a lot of good information on how the system works and using the gauges.
https://www.2carpros.com/articles/re-charge-an-air-conditioner-system
Images (Click to make bigger)
Monday, July 30th, 2018 AT 9:48 AM