Rough idle at start

Replacing the ECTS fixed all of my problems.

CHANGE the ECTS (Engine Coolant Temperature Sensor). This IS A BREEZE. Replace the ECTS ONLY when the engine is NOT HOT. The ECTS costs $9. Since you will lose 1 - 2 qts of engine coolant when switching the old and new ECTS's, this will cost about $3. TOTAL COST: $12. The ECTS is about 6 inches below the top of the engine. It is on the DRIVER side of the engine. Carefully remove the small white cap with 2 wires coming out of it. Use 13mm DEEP WELL socket (6 point variety recommended) and a socket wrench to remove the ECTS. It will unscrew very easily because it is only lightly tightened. TRY to quickly remove the old ECTS with the new ECTS. Each second it takes to perform this switch, engine coolant will pour out of the socket that holds the ECTS. Tighten the new ECTS snugly but NOT TIGHTLY. DO NOT - DO NOT -- OVERtighten the ECTS. Place the white cap with the 2 wires on the new ECTS. DONE. An amateur mechanic can do this job in under 15 minutes. BE SURE to thoroughly wash away the engine coolant that spilled into the engine compartment and onto the ground/pavement below the car when you removed the old ECTS.

Problem #2: This really isn't a pressing issue since the car has always done this. But it at times idles very high. It will eventually idle back down to about 1200 rpm, that's probably as low as it ever goes, but at times will get up to 2000 or higher rpm. It seems to go a little higher since problem #1 started.

Problem #2 sounds like the Throttle Position Sensor, apparently a known issue with Saturns. You'll find it mentioned all over the place.