Hello, the wiring diagram you sent is only of the 'hard start kit' not of the unit wiring itself. The other photo's are nice, but a close up, so close that it only shows wire connections to one component doesn't tell me anything, the wire colors are NOT standard... it is the wire *circuits that I must see.
In the meantime if you are safe and qualified around high voltage electricity you can remove the power terminal cover on the compressor so that you can see the 3 terminals C, S and R... and then with the contactor pulled in check for 230 v across C and R, then check for voltage across C and S... tell me what reads you get.
If you get voltage reads in that range then the compressor windings could likely be burned out.
Do this, mark all wire connections to the compressor very well, make a diagram and take a photo of them, then remove all the wires and check ohm readings between C and S, C and R and R and S.... the R and S readings should total the other two readings, all of the readings will be under 10 ohms.