If you are comfortable with climbing up on the roof, measure the length & width and the number of "chips" in the panel. The "chips" are the 5" or 6" squares in the panel. With this detail we can give you an approximation of the wattage of each solar panel.
About running your air conditioner. It is highly unlikely that the A/C power wiring is connected to your inverter.
Just introduced a term you may not be familiar with, "inverter". The inverter takes 12V power from your battery and converts it to 120V AC power.
Start looking around in various compartments near the house batteries for a box about 8" x 8" by 15"-20" with large cables about the size of an engine starting battery cable going to it. The box could also be about 12"-15" for all 3 dimensions. Should have a brand name and wattage number on it. Probably 1000 or 2000 watts.
Usually the inverter is only wired to the 120V wall outlets in the RV and the Microwave (if the inverter is at least 2000 watts).
Here is a couple of links to detailed info about RV batteries, wiring, care of the batteries, etc. Also info about solar.
http://www.marxrv.com/12volt/12volt.htm
http://www.marxrv.com/12volt/12volta.htm
After reading the info in the above links and you have questions, come back and we can supply some clarification.
) but perhaps the LED lights in the coach indefinitely? 
