Hi, I'm Douglas and I am here to help you resolve problems with your heating and cooling equipment.
I would ask specifically what the actual reading in microfarads the run capacitor shows. It should read within 10% of the rating printed on it. I would aslo ask what the resistance readings are at the compressor. Run to Start, Run to Common and Start to Common. What are the voltages to the compressor (not to the contactor)
Chances are if he tried a replacement hard start kit and it didnt start it's locked up but 10 amps does not really suggest a locked up compressor. Maybe he was reading on the start circuit rather than common. I would expect to hear 30-40 amps and possibly a tripped breaker.
If in the end the compressor is locked up, and I am aware you didnt like the previous answer but you will be hard pressed to purchase a replacement Trane Compressor from a Trane distributor. They are wholesale only and their day to day customers (contractors) would come down hard on them for bypassing them and 1 small sale is not worth it to them.
12-1400 is on the low end of what it would cost to have someone install an out of warranty compressor.
Three wires, thick Red, thick Black, thin orange, I had to ask him to amprobe the thick red. He didn't even take the initiative... that's what is bothering me, it almost sounded like it wanted to start but the cap wasn't providing the initial boost. Interesting though how an Alliance compressor part is impossible to buy, I can buy the cap no problem, a GE part # XXXXX $26 bucks. Frustrates the hell out of me. If I could get all the materials I could fix this myself in under two hours for about half the price. I'm tempted to buy the cap and gamble the $30 bucks. I will check the voltages and get back to you, Is that OK? and thanks...