So you have 2 pairs of wires going to the batteries? If your trailer has standard wiring then one of those sets goes to your solar port and won't feed your loads, so that battery will never discharge.
Some questions:
Please confirm the batteries are 12V not 6V.
How do you know both batteries are getting charged?
Who wired up your lithium batteries?
Do you have a multimeter? If not, get one so you have the basic tools needed to sort this out. Try to buy one with a dc (not just ac) clamp on current measurement function, that would be best.
And no, do NOT use 14 gauge wire to connect batteries, that is waaay too small. You need your wiring to be at least 6 gauge. Don't rewire anything yet until you understand what you have there now.