when i am plugged in the converter makes a humming sound and i have power to the remote 120 outlet when the switch is in the converter position, but no power to the camper inside light or heater
oops... Some basic trailer electrical facts needed here. Trailer lights are 12V (battery) and thus operate from the 'converter' or the converter/battery combination. The furnace also operates on 12V and not 120Volts and uses propane to heat.
A converter uses the 120V power connection to produce an output of 12Volts DC and charges the battery. As previously mentioned it is unusual, but not impossible, to a have a switch controlling this, or it may simply be your understanding of what the switch is intended to do. If the converter is humming it is obviously on. What is
not unusual is having a switch which will disconnect the
battery itself when not in use and prevent discharging it. HOWEVER if the trailer is being towed and has electric brakes, this battery has to be turned on to operate them, especially the breakaway feature.
i have power to the light and heater when the switch is in the battery position.
Completely normal; see above!! To check if the battery is being charged, use a voltmeter and measure the voltage across the battery. If it reads 13.5 volts or more it is being charged. That brings up the question, how good is the battery??? Water level etc??
The 120 Volt outside plug you mentioned is powered directly from the 120V power post connection as are any other 120V plugs in the trailer. The outside plug is likely (or should be) a GFC (Ground Fault protected plug) or is powered from an adjacent GFC plug elsewhere in the trailer. There is NO relationship to the humming converter other than that you have plugged the trailer itself into a 120V. supply and the converter is running.
Whether or not you need a generator will depend on your future camping needs. Campgrounds with power or not etc!! The battery charger is already installed, it is called the converter!! You will have to determine if it is working or not and the condition of the battery (ies) itself. There is not a lot of power available in 1 battery, especially for running a furnace, they are kind of 12V power hungry. Next, you will have to determine if the furnace will light.
With all the above facts, try and familiarize yourself with exactly what you have and get back to us!! You can find a manual for the furnace here:
http://bryantrv.com/docs2/docs/operating/dt6600.pdf
HTH