Ok, that last post sort of answers my question but I will ask it anyway. The air conditioner should have a 20 amp male plug on it. For purposes of testing only, see if you can get that plugged directly into your shore power connection, bypassing all of the wiring of camper. Get a 20 amp to 15 amp adapter like this:

and run the shortest extension cord you can (preferably 12/3 gauge) to your power pole.
This will remove the converter and all wiring in your trailer out of the equation and help only focus the troubleshooting on the air conditioner itself.
Turn on the air conditioner to fan only first. If the fan blows, turn to "cooling" and ensure the compressor starts. If neither of these happen, does anything happen and are there any sounds being produced, such as a stalled/locked motor?
If there are no sounds/actions, I would focus in on the controls, primarily the turn knob.
If all of this DOES work, then the problem is back at the converter and/or wiring.
The converter does not "do" anything for the 120v AC power, but it does serve as a distribution panel and housing for the 120v breakers, depending on the exact model and configuration of converter you purchased. It would be helpful to have that information, including model number, and also for the air conditioner. Without specifics, we're all just giving educated but still guesses.