Yes it does it measures how much the battery is charged. That’s why voltage doesn’t work for SOC. AGM batteries are a beast in them selfs. Low discharge ruins these batteries. They will never charge to 100%. I charge mine for 2 days says 100%. Light is green. Take if charger let truck go to...
If truck is not equipped with remote a fob will do nothing. You can add it. You would need to check you build or trim package and see if it has it. Does original fob remote start?
Just give it time. I am on my 3rd battery in my 22 OEM H6 kept going to deep sleep. Replaced on my own after 8months. Second battery a H7 lasted almost 2 years. Battery still under warranty but would not replace it. They said good voltage and cranking amps. Yet truck was going into deep sleep...
I have done a lot to my truck for towing. Shocks will help a lot, not that expensive and easy to instal yourself. All depends on what type of ride you want, it is a truck so will never ride like a car.