Saturn wont start replaced fuel pump and filter

SOURCE: Fuel filter changed of Saturn Vue 2002

Never allow Saturn touch a Saturn.
During the oil change, the Saturn dealer loosened the center positive electrical battery cable at the main fuse box, drivers side, under hood.
The loose positive cable results in an electrical surge that wipes out the cps.
The new cps is only avaqilable from Saturn.
When the new cps is delivered, one electrical pen will be bend down and must be straightened prior to insertion of male and female electrical connector to the cps. Otherwise the new cps will fail.
Be certain to tighten the center positive post of three that secure the main fuse box in place. The center post must be tightened to ensure the new cps is not destroyed by subsequent electrical surges which result when Saturn Dealer loosens the center fuse box post.

SOURCE: 2001 Saturn SC2 Electrical issue

I had the same problem in a 1997 SC2.  Turns out that finicky/broken door lock/unlock switches were causing an intermittent short.
I removed the 20A fuses to these locks in the switch panel under the radio.  Problem fixed.

SOURCE: will not start after it stalls untill about 5-10 minutes

Your problem is most likey your intake gasket.They have a problems on the SOHC engines where the intake gasket shifts & starts leaking vacuum at the #1 intake runner causing a missfire on Cylinder #1.While the engine is Idling buy some throttle plate cleaner & spray throttle cleaner down at the #1 Intake runner where the intake meets the head.If engine stalls or runs rougher that's your problem.I have replaced dozens of those gaskets for tha reason!! They have a beter design gasket through saturn parts.It has a coating on it to prevent reoccurance.Also you should check you Coolant Temp Sensor,if it's ceramic it's most likely bad.Replacement is brass from saturn.Good Luck

SOURCE: 1999 Saturn SL2 DOHC Engine - Fuel pump not pumping fuel.

replace engine control module

SOURCE: replacing a fuel pump on a 2002 saturn lw300

You can check in the trunk and remove the felt cover see if there is a round panel cover that you can remove to get to the tank. If your unlucky and have to remove the tank you will have to remove the tank. The cover may be under the spare tire so pull it out. It is not to difficult to do, if you drive it till the gas is almost out you can remove the two bolts that hold the tank in place. Use wd-40 to spray on the bolts and also spray the hinges on the oppitse side of the straps. once the nuts are off drop the tank down. You will need to pull the screws off the tank filling tube so it will come down as well. drop the tank down far enough for you to get to the fuel tank sending unit. it will have philips screws holding it in place. Mark two spots with a felt tip pin, (Sharpe) white is better and mark two holes so you can line the it back up for the holes and the hoses. disconnect the fuel line and return line disconnect the battery of the car for safety then pull the wires off it can be a plug or it may have nuts on them. When you remove the nuts or screws out pull the pump out and you will have to angle the pump to get the float out. I recommend that you replace the pump and the sock on the end of the pump. Do not buy after market buy factory replacement only you only want to do this once. mark the new pump holes on the pump using the old pump as an example, will save a lot of time to get it to fit in and match and the lines will line up, tighten all screws up put the lines back on and the clamps and reinstall the tank in place. yo can use your knees to hold it in place till you get the clamps lined up and started. Screw the nuts down till tight and your set to go just hook up the battery again and your set to go.
SIde Note, Never let your car get below 1/4 of tank of fuel, the reason is gas is the coolant for the pump if it goes lower than that the pump will heat up and will burn out. Many people don't know this so I thought I would add this to your knowledge