Looking at your picture, is that Oil or dye on the cooler and hoses. If oil I really would not try to jump the system till I service the system with the right amount of Oil. It does not take much to junk out a compressor with not enough oil.
I just replace a compressor that blew a O-ring at a fitting and most of the oil if not all of it came out. This person had clean up the mess and replace all the hoses and drier and came over to have it vacuum and service. He never said that what happen when ask.
I add the required oil amount for the new hoses and drier. He came back on this past Tuesday with no cooling. The compressor would not turn over. He pulled it off and we could not turn it at all when clamped in the vice. I took it apart and found the pistons has done a number on it. That when he told me it had blown and oil was every where. He did a very good job of cleaning it up.
This man keep the RV very very clean so you would never suspect that a hose had blown.
All I am saying is if that is oil, pull the compressor and drain the oil and then put the right amount back in it, then put back on and new hoses if required and vacuum it down and recharged.