I am afraid Doggy Daddy is correct in his posting that 12" square solar panel
you are to rely on is only to help the chassis battery not be drained by ECM,TCM, RADIO AND LP Detector.
It has nothing to do with the House batteries.
If you connect your shore power cord into a 110 outlet,
some where, than your Bird System
would maintain all your battery systems both house and chassis batteries.
It would be best to remove all batteries
, check water levels, and put them on a stand alone battery charger to keep charged at your home.
At the very least operate your battery cut off switch to off
,your LP Detector switch to off
because it feeds of your chassis battery, with batteries off, fridge will not work so clean it out, if it were to run and a Norcold
you may not have a MH to come back to.
Can run no furnace no battery's, if its that cold need to winterize plumbing system
If you cut off all switch's the batteries may have enough power to start your engine and Gen to get all battery's recharged after your two weeks away..after you have taken care of the MH than you should not have any sleepless nights away from your MH.