It sounds like mabe your cold start injector is activating but the the mains aren't kicking in, or at least staying on steady.
Presumably you've been to the page linked in my sig (ghnl's L-jet page) so you can find stuff a bit easier now.
For starters I'd be checking the AFM connection, the fuse back by the ECU (replace it whether it looks good or not) both relays back by the ECU (see if the small one kicks on and if not, does the big one send it a 12V signal on the smalls #86 terminal while cranking and if not, then check wiring at the coil and big relay).
Presumably you've been to the page linked in my sig (ghnl's L-jet page) so you can find stuff a bit easier now.
For starters I'd be checking the AFM connection, the fuse back by the ECU (replace it whether it looks good or not) both relays back by the ECU (see if the small one kicks on and if not, does the big one send it a 12V signal on the smalls #86 terminal while cranking and if not, then check wiring at the coil and big relay).