As far as second choice for H. You probably won't draw and here's why. It took 2 points last year in the regular draw to draw region H. This was for first choice, regular draw. They then pool all of the remaining 1st choice apps, giving everyone with 1 and 0 points a chance to draw this tag in the "random draw". After everyone who had H as a first choice drew, then they pull from 2nd choice. If they ran out of tags before exhausting 1st choice selections, 2nd choice doesn't come into play. Last year, no one with this as second choice should have drawn. The only way they will draw is if all other choices have been exhausted (full priced, and special priced 1st choices chosen).
I'd suggest if you wanted to have a decent backup plan, with a decent shot of drawing, look into the 70/80's units in S. Central Wyoming, Region A or X if you want a true "backup" plan for buck deer hunting. The success rates, odds, and past history of success is all available on wgfd.wyo.gov website. You have to look a little bit. If you ever have questions, call the dept and they'll answer things pretty lickety split.
Good luck!!