Ok ill pipe in here.
NR tags are on a first come first serve basis. They open the phone lines on a certain day and allow a certain amount of tags to be sold that could be used state wide. Im not certain but i think the cap is around 15,000 now as it was raised this year. (i may be off on that number a bit). The phone system in place is by Bass Pro and im hearing that their contract is up this year and there has been alot of problems with people getting through. This year there is talk of a mail in lottery system being implemented but thats just "hear say" right now. The tags are in the 220 range but you also have to purchase a NR hunting license along with it. Our great DNR leader has also mentioned he would like to raise the tags to the 400 dollar range but this was just tossed out there. (NR tags are already to high IMO and raising them will only have other states do the same) This is all archery that im talking about im assuming thats what your looking for? Also your NR tag will get you one either sex tag and one antlerless only tag.
As far as public land we are ranked like 47th in the country for public land. There is good public land out there but pressure in some areas is high. There are some great bucks on public land you just need to do some homework and put some time in.
I would go here and start reading the information there.
http://dnr.state.il.us/
Theres information on the tag fees, public land available and anything else you might need.
Don