I hate to say it, but being that your tank is black on chrome, it's going to be very difficult to fix the dents on that tank and keep the chrome finish. Motorcycle tanks (especially these RE tanks) are made with heavy duty steel to help keep them rigid. Unfortunately when you dent them up that deep it is next to impossible to remove the dent without tearing or putting a hole in the steel. Typically to repair a gas tank in that state it is easiest and most effective to fill the dent with fiberglass body filler and then use regular body filler, glaze and primer to get the surface true again. This is where the chrome issue comes into play. Chrome will only stick to metal and has to be dipped in a tank. Body filler is non metallic and very porous and will soak in any liquid it is exposed to before being painted. Not to mention you'll still need to address the hand painted gold stripes after it's repaired.
In my professional opinion, if you want it to look original I would replace the gas tank with a new one. If you just want it repaired with the dents fixed and painted the original color but solid (no chrome) a guy like myself can repair it for about $150-$250.
Hope this is of help.
Scottie