Now that I do a quick google, bad ecu's aren't uncommon for neons. However, sounds like a bad ecu will not activate the fuel pump either - and you seem to have fuel. BTW my beater del sol is having a weird issue where it sometimes won't PRIME the pump, but will power it while you crank or while the engine runs. Basicly I have to crank 3x longer and hold the pedal down. In my case it's probably a bad main relay.
I'll also assume you checked for spark with a inline light, timing gun, or the old skool remove-a-plug way. A dying coil can fire through air but not compressed/fueled air, or only through a reduced plug gap.
I usually say this regardless of someone's engine knowledge - on a basic level, an engine needs fuel, spark, & compression. Advanced, it needs that all in the right amounts or at the right time. If you've checked you have all that stuff, the next step is to find out how much & when you're getting it. BTW ether starting fluid works great since it evaporates much faster than gas, much harder to flood with it.