Susan, your RV has two completely seperate and different electrical systems: High voltage AC similar to your home and Low voltage DC which is like a car battery or electrical system. \
The aviation plug and output for the AC200P operates at 12 volts DC, roughly the same as your vehicle starting battery and your on board RV batteries. 12 volts DC is what operates your lights, water pump, furnace, fridge and a fan or two. This electrical system is what your aviation cord can be connected to and is in no way designed or intended to operate any devices that require AC power.
The two air conditioners you mentioned both operate only on high voltage AC systems just like in your house. They will not operate in any way on the AC200P low voltage 12 volt DC output. The 13,500 btu AC unit in your RV uses more electricity than the AC200P can output and will not operate from the 13,500 btu unit. Your AC200P will out put 2000 watts of contineous maximum power for approx. 45 minutes. Your smaller 8500 BTU AC unit will also consume a very large amount of electricity (Approx 850 watts per hour) and the AC200P while most likely being able to operate, it will run at most 2 hours before the battery is dead.
When you plug your 30 amp RV plug into your AC200P (Via the AC outlets, you are going to power up anything running in the RV at the time. The 120 volt AC electricity goes to a power converter built into your RV that converts the high voltage AC electricity into low voltage 12 volts DC power for all the DC items mentioned above (not the AC or microwave which are AC power).
When you plug your RV into the AC200P all the normal RV electrical systems are being powered as well as the RV’s built in battery charger which will begin charging your RV battery if it is not at 100%. All of this will consume several hundred watts of the 2,000 available and you will have the remainder available to power up the microwave or your 8500 btu AC for a very short while. All in all, it is not practical in any way to expect the AC200P to power your AC units for any reasonable amount of time. You have roughly 1,600 usable watts of power available for a one hour (800 for two hours, 400 for four hours etc) period. You need to find out exactly how many watts each AC item uses that you will be powering to get an idea of how long and what exactly you can run.