Regarding fridge too large to remove: ( If you ever have to )
If you have a large enough window, pop it out to replace the fridge, its easy to do by removing the trim screws.
Check the door seal , be sure its in good condition.
Not getting cold enough could be a thermostat or the cooling unit .
There is a way to bypass the thermostat to see if things are working or not.
Personally i have never tried it. All i can suggest is this link where he tied into a 110 power source to bypass the Thermostat.
All i can find on it is the following: its for a diif. model dometic but the process is the same.
Good luck , hope things work out , Bob
http://www.fixya.com/support/t413747-dometic_rm2350_fridge_not_cold_enough