Having some problems starting car. No clicking noise but dashboard lights up. Then I fumble with a wire under the dashboard and suddenly it starts. What wire can that be? My friend tell me its a thick black wire but he doesn't know what wire it is?
Sounds like a partially disconnected/damaged ignition wire. You'll have to poke around a good bit to find exactly which wire it is.
What year is your Celica?
My buddy had a similar issue on a Supra, and he fixed it by installing a new starter relay and running a new wire to the starter. He just decided it was too much work to find which wire in such a cluttered harness.