Computer in the engine compartment of a Cherokee sits right between the AIR CLEANER BOX, and the DRIVERS SIDE of the engine compartment... It's a black box with cooling fins, and several wire harnesses plugging into it on the top... I have a 2000, but it's in the same place, the aforementioned wire harnesses are seen in the bottom of this picture.
Wish I could give you more insight on the starting problem, but where I am lacking, there are many people here who can help... Welcome to Jeepz. :)