If you want to check if its charging from the tow vehicle and have a modern 7 way plug. open the flap on the vehicle. with voltage meter check top right blade (12v+) and other lead in bottom left blade (12v-)
If 12v is present your good if not most trucks have a spot somewhere in the distribution panel for a maxi fuse 40-50amp.
On the converter side if your comfortable working with live voltage check your input 120v for present voltage (breakers can go bad) Listen for a high frequency noise or fan spin
If good move over to the output side. 12v some go out directly out to a circuit breaker before continuing on to the battery. (these also can go bad)
they look like this
breakerYour batteries are shot new or not they are gone. you might think you have some capacity left and they may very well have some but they are goners. If possible add a LVD to the system to prevent future damage to expensive batteries.
this is my favorite one you can control with a smart phone.
LVDConverters dont run when not plugged in to a 120v source. so your truck if equipped will supply voltage. A even faster check then the one i mentioned earlier. is check battery voltage not plugged into the truck. say 6-12v then plug in the truck and start it and do another voltage check on the battery. should be 13.8-14.1