A dead crank angle sensor on an LH2.4 car will leave everything dead in the water. Pumps, ECU, fuel, spark and so on. Check that the wiring isn't rubbed off on the dipstick tube and possibly replace the sensor. That, short of something seriously fundamentally wrong with the car, is usually the most common cause of no fuel + no spark on an LH2.4 car. I use a pretty long extension to change those on 240s. It lives on the back of the motor atop the bellhousing andbehind the head.
http://brickboard.com/FAQ/700-900/Engin ... ion_Sensor
You should get .2-.3 volts at least while cranking the engine over with the sensor. Crank angle sensors usually give up at ~200K a lot. My beater 245 with 335K had had it replaced at 280K, though it wasn't a very leaky car (serviced by MVP before I bought it) and always had a splash pan.
LH2.4 cars don't bounce the tach as much while cranking as k-jet and earlier LH ones, but you should hopefully see it bounce a little if your coil is discharging.
You can jump fuses 4 and 6 to get the pumps going on a later model LH 240. Still, the dual relay supplies power to the pumps, AMM, injectors and 02 sensor IIRC, so if the relay is dead enough, you jumpering the pumps may not actually get the car to run like my old k-jet non-ECU car does. Check also the 25A 740 style main fuse by the battery and its connection if you have that (my 92 didn't I don't think thank god). It supplies power to the fuel pump relay, which in roundabout ways supplies power to the fuel pump fuses, O2 sensor, ECU and basically all the important LH things.