RV46 - I am adding comments again as I am still not sure from your comments what you are wanting to do...
Your trailer has a 30AMP Shore Power Cable that connects to the standard 30AMP Receptacle on the camp ground ground pedestal...
Your 30AMP trailer shore power cable is either a pull-out cable or direct connected like in these photos.
This is a typical camp ground pedestal setup where the above shown cables plug into. The 30AMP connection in your case.
I think what you are saying as well as bunch of others on here that if you have your air conditioner running and you turn on an additional high wattage unit you end having to go outside and RESET the 30AMP Shore Power Receptacle.
This happens to most of us...
If you add a separate power distribution unit in your trailer with its own dedicated 20AMP Circuits and tap off your existing 30AMP Shore Power Connections inside your trailer then the same thing is going to happen. You will have to go outside and reset the 30AMP Shore Power Connection receptacle.
What you want to do to get around this problem is add a SECOND SHORE POWER cable coming into your trailer and have it plugged into the 20AMP RECEPTACLE on Shore Power pedestal. Now you have TWO shore power cables coming into your trailer. You will have to rig up a NEW receptacle on the outside of your trailer (either a pull-out cable or direct connected PLUG type) and wire this to a new power distribution panel connected to your dedicated NEW 120VAC 20AMP receptacles around your trailer or so like a bunch of us do which is less expensive and that is just run a 50-foot HD Extension Cord from the 20AMP Connection on the shore power pedestal and route this into your trailer thru the storage door area.
Adding a complete second 20AMP shore power cable (either the pull-out or direct connected plug type) connected to a NEW Power Distribution Panel inside your trailer sounds expensive. If you select to use the outside trailer flip lid direct connected PLUG type your shore 20AMP Shore Power cable will have a 20AMP MALE plug on one end and a 20AMP FEMALE PLUG on the other end. This will require you to install a 20AMP MALE PLUG behind your flip lid receptacle on the outside of your trailer that is wired directly to your new 20AMP power distribution panel. A pull-out cable with a MALE 20AMP plug on its end would be the less expensive solution. This could even be a HD extension cord arrangement...
Your idea of installing a NEW 120VAC 20AMP Distribution Panel and NEW dedicated receptacles is fine but keep in mind it has to connect to the 120VAC 20AMP RECEPTACLE on the camp ground pedestal shown in this typical camp ground pedestal. Note each of the 50A-30A-20A receptacles have their own circuit breaker on the camp ground pedestal.
You are probably saying this in your remarks but wasn't clear to me you was. Will require TWO Shore Power cables to do what you want to do. One cable connected to the 30AMP Service and the other cable connected to the 20AMP Service.
Just making sure we are all on the same page
Roy Ken