Engine is skipping when accelerating

Any number of reasons. Take the spark plugs out of each cylinder, making darn sure the engine is cold.
Are they wet or oily ? If not, then put the plug boot on the plug, then put it next to something metal on the engine , while an assistant turns over the key. Did you see a spark ? No, then the ignition is faulty. Replace the wires, plugs and rotor under the distributor cap, and the cap itself. I believe they are still rotor caps on this year Saturn.

Check or replace the MAP sensor also if the sparkplugs, wires or coils have been change make sure the firing order is correct, at the plugs and the 2 coils.

Well should be pretty basic youll need a 3/8 ratchet and an extension and a spark plug socket, if you cant see the plug wires and plugs you may need to take a cover off but they should be visible at the top of the engine, remove the plug wire and unscrew the spark plug, install new plug and replace the wire, do one at a time so you dont get the wires mixed up

Even though you changed the plugs, one of them could be bad or not firing as good as it should. Also, the plugs may be the wrong kind. You can try a higher plug with platinum. I have a saturn with 1.9 DOHC and used the bosch platinum. It was the cheapest bosch platinum. If you use a higher grade plug than what I'm using, it will sometimes cause the car to skip.

on the coil pack the one all the way to the left thats #4 then going from left to right #4-#1 #2 #3
4123 on the coil pack
then on the engine the spark plug closet to the top engine mount is #1 then 234 from left to right 1234 on the engine

engine side 1234/coil side 4123,all left to right.

You only have 4 so better just do a tune up and change the plug and wires, but one at a time so you don't get them crossed when re-installing the new plugs and wire.
Use Platinum plugs since there good for 100,000 miles which mean less maintenance, and double check that the spark plug boots set to the plugs when re-installed.
Run some fuel injector cleaner through the gas tank for about a week to to clean out your fuel system and hope fully the skipping stops.
If your going to get all the goodys at Auto Zone, have them scan the car for any DTC codes since it's free and see if there are other issues that is causing the skipping like a bad signal from the MAP sensor ECT.
Good luck and keep me posted.

Pull all 4 spark plug wires off at the coils,have someone crank your engine.You should see spark jumping between all 4 coils.If not you probally have a bad crank position sensor failed.If not that Ignition control You can check for fuel pressure at the fuel rail if you have a fuel pressure tester,might check the Inj. fuse located in the underhood fuse block.Hope this helps.Also You may try to push accelerator pedal all the floor this will put the engine in clear flood mode in case it's flooded.

Hello DTC P0341 & P0133 very common saturn Codes.You need to check condition of Plugs & wires,If not New Replace All Plugs & Wires,also I would replace the #1#4 Coil for the P0341.For the P0133 Reaplce your front O2 sensor with an OEM sensor,not an aftermarket.

yes it is the ignition coils . po304 is a miss fire on #4 cylinder.wires and plugs should fix the problem unless ignition coil is not firing. there are 2 coils they run 1&4 2 &3 cylinders.