1992 saturn sl1 . 1 key was stuck in ignition switch and after leaving it in for a couple weeks the car started shifting strange. sprayed wd40 in shifter console and key came out. shifted good hot. next day very loud ignition and car wont move.

SOURCE: 2002 saturn sl1 ignition switch lock up

Usually this can be temporarily solved with a shot of graphite lubricant into the key hole and moving the steering wheel side to side while turning the key. But, in the end, the ignition cylinder is wearing out and will eventually need replacing.

SOURCE: 2003 Saturn Ignition and Security System Troubles

Sorry to say but it's probably the BCM (body control module) that's going in her car. The BCM controls everything inside your car, from the gauges, locks, daytime running lamps, ABS... and yes the security system. I have a 2003 L200 which had the same problem and I had to replace the BCM at some cost ($400-$600) depending on where you go. The L-Series Saturns seem to have a problem with their BCMs and it seems that it's pretty prevalent. Unfortunately it will only get worse as time goes on and it's not something that you can do yourself as it needs to be programmed by the dealer. You also will need to get your remotes reprogrammed as well with the new BCM. Hope this helps.

SOURCE: hard transmission shift from 1st to 2nd after hot drive

make sure you maintain trans fluid, may be low or very dirty. get serviced,

SOURCE: 1992 Saturn SL1 jerks and jumps when accelerating

did you try to replace your transmition filter.....

SOURCE: I have a 1995 Saturn SL1, the clutch squeaks

Ours started squeaking and then the gearshift slipped into oblivion. Take thee to a dealer....at least my baby and I were close to home when the gear shift stopped working.