Can't - so won't - speak to your solar monitoring.
Here is a screenshot from the Brochure for the Solis/Pocket (may be helpful):
Group 31 Wet Batteries have between 100-130Ah capacity. So, your house bank will provide about 100 Ah use before hitting the 50% Depth of Discharge.
The Nova Kool 3100 consumes about 2.1 Amps while running. Start up may be more. Unless the batteries are toast, and in reasonable condition and health - you ought to get 40-ish hours of running time on the house bank. Not your experience.
My 1st Guess is Connections (including Grounds). Is Batt1 the starting battery? The House Bank (in my experience) is best wired in parallel to act as a single battery. If you solar is not charging it, is the alternator? Generator? Do you know if the House Batteries are charged/charging with other charging sources - or have been assuming so? You mentioned a reading showing an error - Batt2 not connected. Could be a simple fix - but may require you getting to the connections.
Do you have access to a clamp-on ammemeter? That might help prove if you have current flowing to the House Bank. Then, I'd check to see if the alternator is charging the House Bank. You could even check to see if the Isolator is passing the charge as it should.
When the refer shuts down - are you able to start the van?
My Mantra: 99.99% of electrical problems are Mechanical in Nature. The other 50% are switch errors.
Best of luck!
Cheers - Jim