controlled hunt application

Controlled hunt application clarification [can I apply for deer and elk and pronghorn the same calendar year?]

It is clear from the March 31st press release on Moose, Sheep, and Goat Controlled hunts that one may not apply for a controlled hunt for another species, with exceptions. However, if I were to apply for a deer controlled hunt, may I still apply for an elk or pronghorn controlled hunt? Please also let me know how likely it is (based on previous years data and your best guess) that there will be leftover nonresident general season tags available for deer and elk.