Hi-
I homeschool in Illinis and the short answer to all your questions is No. In Illinois homeschools are looked at as private schools.
All you have to be teaching is equivilant subjects to what is taught in the public school. English,Math, History, etc... The content does not need to be the same. If you go to the main homepage here at www.home-school-inc.com there is a link called Homeschool Legal and it explains clearly and concisely the rules governing homeschooling in Illinois.
Hope this helps.