GVW and GVWR are used interchangeably, both mean the Gross Vehicle Weight, which is the same as the Gross Vehicle Weight Rating, or, what the vehicle is rated to weigh when fully loaded with cargo, driver, fuel, passengers, tools, installed accessories, everything, meaning when the vehicle is placed on a scale it cannot weigh more than the manufacturer's stated GVW. This would also include the weight of a tongue if towing a trailer. The manufacturer sets the GVW and it cannot be changed.
The GVCW is the Gross Vehicle Combination Weight, the total weight of the vehicle and whatever it's towing.
There's also GAW or GAWR, which is the Gross Axle Weight Rating of an individual axle. You can be fully loaded and be under the GVW, but if the weight on any axle exceeds that axle's GAW, you're overweight.
Empty Weight is the weight of the vehicle with everything it in except cargo. Full fuel tank, tools, cargo securements like decking and e-track load bars and tie-downs, bottled water, food, DVD's, clothes, everything. The empty weight can change over time as you toss stuff into the vehicle, like adding a CB radio, antenna and coax cable, or adding this tool or that tool, an auxiliary battery and cables. It adds up quick. Once you know your empty weight you can subtract that from the GVW to figure out how much cargo you can carry.