It sounds like you've got an OBD I engine in an OBD II chassis and and OBD II ECU. If your emissions place will allow you to pass with an OBD I ECU (IE they don't check), changing the ECU to a P30 from a '94-'95 Del Sol or using a P28 from a '92-'95 Civic EX/Si hatchback and having it rechipped will probably be your best solution. Your looking at around $200-$250 for the ECU and and probably another $100-$150 for a conversion harness (go from OBD II plugs into an OBD I ECU). I know of a few people who have tried using an OBD II oil pump and CKF sensor on an OBD I engine but I can't honestly remember the last one who said it worked out perfectly for them.

If you do go for a re-chip, I'd ignore the fancy rechip programs as some of them are designed for built engine (don't change the VTEC point without changing cams) and avoid anything to removes or raises your revlimiter. Your stock cams stop making power at 7600ish rpm so going to 9000 won't help for squat, only float a valve into a piston.