I too have a 2002 accent 1.6 has 95K miles on it an I am getting exactly the same problem. Intermittent no starts with lots of cranking. Usually it starts in 1 second but some times it cranks and cranks... I noticed when I turn the key off and on again then it starts ok. Also when it cranks for a little bit at normal speed, I let the key stay in the on position and try to crank it again and it seems like there is a short because it cranks like there is a dead battery. Then when I turn the key off and on and crank it cranks fast and fires rite up???? I don't know but it seems to happen when the car is sitting over the weekend and not used for a little while. Once it starts for the day it never happens again ang of course there is never any check engine lite. I now notice I have this problem when it sits in the rain and isn't started all day. I took a hair dryer and dried off the engine and it started. An electrical problem somewhere under the hood!!!!