I don't think your wiring is correct.
Connection points 1 and 2 on the PID are the input power connections, so connect one 120 vac line feed to terminal 1 and the neutral to terminal 2. The PID can also operate on 240 vac if you desire.
Then change the wiring so the power to the contactor coil comes from the PID. As I posted earlier, I believe the two coil connections should be connected to PID terminals 13 & 14.
Then with the PID powered up you can start the programming function. You should have received a manual with the PID, so you might want to contact the seller to see if one is available. My controller is a model TC-408 but it looks identical to yours and has the exact same connection points. You might take a look at this manual.
http://aliuy.com/TC-408%20instruction%201.pdf
If the programming functions for the TC-408 work on your unit, you might want to change the Configuration Parameter setting 'outy' to '1'. Enter a target temperature greater than ambient and do some of the simple tests I mentioned earlier to determine if you are getting power to the contactor. Let us know how it is going.