Hi, I am a Fulltime Rver in my sixth year with Lithium. My advice will sound an awful lot like HRTKD's.
1. I do not use my truck charging even though I have an F350 with two heavy-duty alternators. Could I? I think so but with solar you really don't need it. If I did I would use a dc-to-dc to control the amp draw. Redarc is known for making a product.
https://redarcelectronics.com/
2. I started with a Magnum hybrid inverter 3012 (I love the power-sharing function). After 5 years I added another Magnum inverter the 4024. If I was starting over today I would probably go with a 24 volt system and maybe to a 48. The wiring size, efficiency, is just so much better. You can run your 12 volt system using one or more of these guys.
https://www.victronenergy.com/dc-dc-converters/orion-dc-dc-converters-12v-24v-48v-110v