You can test for fuel flow by turning the key to the run position and pushing open the AFM door. Listen to the fuel rail and you will hear fuel pulsing in the rail if the fuel pump and circuit are working. If not, then you have a FP relay to IGN that is not wired up right, as was suggested above. The shop manual diagrams posted above also show you a test connector on the AFM harness that does the same thing as holding the AFM flapper door open. You bypass the door with a jumper wire on the connector. You should also test fuel pressure with a gauge mated to the cold start injector supply line, not by opening the fuel filter and setting your junk on fire.
Good luck. Dentman
2002 & 2005 Capital City Speedway ministock champion
2- 3rd gen Celica Stock Cars; 85 Celica GTS Convertible
3-7th Gen Celica road and race cars
86 Cressida wagon with a w58 swap
Many Toyota Trucks
"It's better to be in the race for a second than to spectate forever." St Merlin