I start it up and a few seconds later it just dies.

I had a similar problem on mine. Turned out to be a bad hose on the fuel pump. Someone had serviced the fuel pump before and must have repalced the hose with a low pressure vacum hose. Basically the hose was leaking so bad that the pump was not making enough pressure to keep the engine running. You must use high pressure fuel pump hose on this fuel pump. You can get this at your local auto parts store, but its about $6 a foot.

Its kinda hard to check fuel pressure on these cars, but its pretty easy to take the fuel pump out and see if the filter is clogged or if the pump works. The pump is accessable inside the trunk. 8 screws, one hose clamp, one bolt holding the pressure line, 1 electrical connecter and you can take it out.

That being said, I would definately check the easy stuff first. If you aren't getting a check engine light, Replace the PCV (its probably bad). Check for vacum leaks. Vacum hose is pretty cheap and there isnt a whole lot of it on this car. Check the air filter. Do not use oil impregnated air filters with this car, it will clog your MAF sensor. Check to make sure your MAF sensor is clean. Make sure the oil dipstick is fully inserted into its tube and the seal is good. (This is part of the PCV system and may cause vacum leaks). Gas cap tight, and seal is good.

This would be a good place to start. If this doesnt fix it, you may need to go more aggressive such as checking spark and compression.