hot rolled or cold rolled is just a term for the way the metal is processed when it is made, it is either rolled /drawn out into a sheet when it is "hot" or "cold". If I'm not mistaken, the hot rolling process will create an "oily film" on the metal, which if not removed from the metal will prevent you from getting an uncontaminated weld, and also will wreak havoc when trying to paint....as with all metal, it is best to prep the surface before you weld and or paint. Galvanization is just a coating /process that is applied to the metal to prevent rusting, and as mentioned before, if not removed before welding, the fumes can be toxic.
16 ga will be good for the floorboard, I think the majority of the sheetmetal used on the body (fenders etc.) is 18ga, and the structural metal (cab & bed floor for example) is 16 ga. IMO I would leave the firewall so you don't loose the structural integrity of the cab, weld in the floor boards, then do the fire wall, then the wheel tubs.