Personally, I would use plugs/receptacles fron a well know industry manufacturer like Levton or Hubbel. Also, if you are having problems with the female end, you can always make your own "pigtail" using an industry standard function box with a "flush mount" in-wall receptacle.
Also, placing stranded "cordage" wires to the screws is not the most robust solution because the strands are finer than than what is used in industry standard THNN/THWN. In the past, I have "thinned" these finer wires with solder on the bent a hook on the end.
The ultimate "pigtail" would use flexible waterproof conduit ("sealtite") with THEN wire to weather resistant junction boxes.
Silicon dielectric grease on the pins will reduce/eliminate arcing.