I don't think its your problem, but read this to eliminate it as a possible.
http://www.toyota-supra.info/forums/...ead.php?t=4657
note...
Also, the switch is heat/cold controlled. If the temp outside is more than about 65* (maybe 55*) it won't allow the injector to come on, to prevent flooding. Also, even in a snow storm, after 12 seconds of cranking time, the switch will stop supplying current to the injector. (prevent flooding)