It sounds like the a relay. When you have this problem take the key out and put it back in and listen to hear a click when the engine light goes out. You can also open the driver side door and listen to hear the fule pump prime the line. If you don't hear this then that is your problem. usually you can just keep turning the key on and off until it works. I had the same thing with my 90 Lx. Any honda dealer has the part and its about $35. Its easy to replace. The relay is located under the righ of the dash on the driver side. One bolt. Let me know if this is it.
__________________
" Nitrous is like a hot chick with an STD, you wanna hit it, but you know what the consequences might be "