Hello orgneburgr4. Your Saturn uses 2 shift cables to shift the transmission. Disassemble the shifter boot to gain access the shift cables, where they mount to the shifter. Then have someone go out the trans and look for movement on both cables. Disconnect the cables at both sides and make sure the cables move freely. If not, they are NG. When you order the cables from GM they come as a pair, so you will get both anyway. Good luck
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Yes they do move forks within the transmission, and yes they do break. As far as repair, you'll have to remove and disassemble the trans to access the shift forks. You have 2 forks that ride on a shaft. If your cable are moving and the shafts are moving and you don't have action within the trans, your at that point. You can't eliminate the shifter plate, you'll have to diassemble and repair the broken component and reassemble it.