WHAT GEAR OIL IS RECOMMENDED FOR A 97 SATURN SL 5 SPEED TRANSMISSION

Sounds Like a carrier bearing inside transmission. Check the fluid level of the transmission.

Simple tell you there is a valve inside the transmission, the ends of the valve are respectively throttle control oil pressure, oil pressure and speed when you step on the gas inside the valve throttle pressure increases the transmission oil, pushing through change down to one side after a series of relations between the transmission will be blocked, as the speed of high-speed hydraulic control are on the rise, until after the oil pressure is higher than the throttle inside the valve to the other side through the transmission shift up oil, after a series of relations between the transmission block
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Ether shift forks are worn out or it may have a broken brass syncronizer ring broken.

check the CV joints

You put gear oil in a manual transmission, not automatic transmission fluid. Look in your owners manual for the proper weight, or ask the guys behind the counter at a parts store.

The factory transaxle fluid is recommended for the manual transmission in your car. It can be purchased from a Chevy dealership. I could not find an after-market replacement.

check the owners manuel, it will tell you what kind of oil to use, if no manuel call any dealer to get correct oil

Good Evening, mostly your transmission is good. I would be questioning the the condition of your clutch disc, but first I would have to say clutch master and or slave cylinder. I have had a few run across the lot where the clutch master cylinder has leaked internally just up above your clutch pedal where the rod goes through the firewall. let me know what you find, and when was any clutch work done.

There is no 'adjustment' but you can check your linkage for security making sure nothing is loose or worn. Also check your fluid levels. If reverse is completely out and your starting to lose second you will probably need to have the transmission rebuilt or replaced.

This vehicle has a pair of shift cables which attatches to the shifter and runs to the transmission shift housing.To diagnose,removal of the center console is in order so you can inspect and verify the shifter/cable connections and movement,then verify the cables move the linkages properly at the transmission . These cables are a fairly common failed part and sold as the set,these are a dealer item and no aftermarket cables are available .