On older cars, it used to be much easier to diagnose such a problem. It was either the spark plug or the carburator. But nowadays, there's so many high tech parts and especially all the sensors and switches which control things we don't even know about.
A car basically need gas, air, and electricity to run.
You say the pump is new and good, so that means the gas should be getting into engine, via the fuel injection.
Same thing with air--very hard for an air filter to be sooo clogged to stop any airflow.
Battery is good, engine cranks, but there's more to it. Spark needs to get to the plugs themselves to ignite the gas. But also, all the gas, air, and spark need to get there at exactly the right time so that everything happens to combust the gas properly, otherwise, engine runs bad, if not at all. But if that happens, engine usually will start, but run like it's got bad timing, which is something else you need to make sure of.
If engine is cranking and sounding good, then I doubt the timing is bad, but you still might check it.
It could be the computer. Those computers control so much nowadays, secret switches and stuff that, as I said, we have no idea what happens.
I'd suggest to take it to a shop and have them read the computer. Oh, wait.....you can't get it started. Duh.....
Spark plug wires do go out, but on a 2008, especially a Corolla, I cannot see the plugs, wires, or fuel pump to be bad. So something else is terribly wrong, because Toyota engines are legendary for their reliability and endurance. They're more faithful than Lassie!!
Because the car is still almost new, then something has gotten messed up. Did the car just suddenly not start one day, or did you have troubles with it dying on you for while or not starting for some time? If it just one day out of the blue, didn't start and still won't start, then something suddenly went out.
I'm stumped too, sorry. Such a new Corolla shouldn't have this trouble. I'd suck it up and try to get car to garage to have them read the car's computer. It might tell you what's wrong.
PS-----BAD GAS!! That suddenly occured to me. It takes extremely little moisture to get into the gasoline to cause a car to stall out and not start. Did this happen soon after getting gas. You really couldn't get gas one day and then later in week, the bad gas is used. When you get gas, it mixes up extremely quickly, so any moisture or bad gas would be used literally within a few blocks after taking off. It might be that engine might be sputtering for sometime, before it won't run anymore, but usually it happens quickly after gettin g gas. Hope that's not it, because then you've got to take gas tank off, drain it, install new gas, and also purge bad gas from engine. It can cost up to $500 thru garages to do that. That's why when a gas station suddenly is pumping bad gas, the car owners make sure that they pay the garage fee to get car fixed right.
