[folivier]

Since you've changed those parts your new parts should be working properly.
For grins bleed off the air then take off the outlet tubing from the compressor and see if it still shuts off quickly or continues to run, it should since it won't be able to build pressure. That will tell you if the problem is with the compressor or downstream. Or put a pressure gauge at the output of the compressor to see what the pressure is doing as it runs with the tubing hooked up.