RE: Turkey tags.
The first lottery for IL residents has came and went in early December. The second lottery, for nonresidents and residents who haven't drawn a tag yet is quickly approaching. I believe your application must be in by Jan. 9. The third lottery deadline, for anyone to apply for a second permit is early Feb. The next drawing after that is on a first come first serve basis for remaining permits.
For the most reliable info go to IDNR's website. They also have a page there that will show you how many tags are remaining for each county and season after the first lottery.