Stopped by a cop while driving and wrote a citation for no insurance?

ok, I am an international student and while I was driving I was stoped by a cop for driving 10 miles over the speed limit, and he let me go for speeding but wrote me a citation for no insurance. I was having a 60 day lapse between insurance which ended 05/20, this incident happened 05/21 . I thought the lapse ended on 05/23 so I was gonna reinstate my insurance on 05/23 but when I asked about it from statefarm on 05/23 they told me that it ended on 05/20 and declined to give me insurance. So I contacted Allstate and purchased insurance on 05/23. When I took it to courthouse to pay my fine they told me that I have to pay a fine of $250 + my drivers licence suspended. so i got a courtdate for 7/7. If my driver license get suspended is it for how long? do u think i have a chance in the court. this is OK(STATE)