Guy, I wouldn't worry about the rear delt raises. You have to use such light weights that you cannot always use increments unless you were to buy some small magnetic plates like plate mates. Personally, however, I would drop the rear raises as it is a pretty small muscle and add in another lat exercise, such as pull ups or chin ups. You don't want to short-change the second largest muscle in your muscle. With that addition, you could realistiucally cut your curls down to 1 set as it is pretty easy to overwork a small muscle like the biceps.
I would start the DB presses at a lower weight for the 15's...perhaps 40 pounds. Use a slower tempo and work on perfecting form. For the 10's and 20's you may have to zig zag a little bit or use smaller increments. I don't use the same weight more than twice in any routine. Again, using something like plate mates allows you to keep progressing even when the increment from start to finish in any rep scheme is relatively small. I also find slight incline benches to be superior to flat benches. Slight meaning only a 15 to 30 degreee incline.
I would definitely alternate the squats and deads. Keep the same progression that you have but merely eiminate every other day for each. That means you will effectively be doubling your increments.
I don't think you need upright rows and shoulder presses together. I would dump the uprights as they are hard on the shoulders and maybe substitute trap shrugs for them. A good set of traps are usually one of the first muscles that a person will notice when looking at someone since their natural tendency is to look at a person's face first.
Good luck. You are obviously not new to lifting as your weights are pretty heavy in the 5's. It will be interesting to see how you like HST.