Hi,

The eject motor is probably fine. It seems weak most likely because it has to deal with the high resistance of the mechanism sliding through the old, sticky grease.

What I do when I lubricate a drive:

1. Remove the drive from the computer
   
2. Unhook the springs which are on each side of the eject mechanism. These are what provides the force for the auto-inject. beware the heads! There is a small plastic thing snapped onto the upper plate where a tab on the head rests. It is best to remove this while the mechanism is in the down position (as if there were a disk inserted).
   
3. Slide the lower plate around until you can free the upper plate (the one where the disk sits) and set it aside.
   
4. There are four little round things which snap onto little posts which you need to carefully pry off. These hold the lower plate to the drive's frame.
   
5. Once you've gotten it down this far, wipe everything down with rubbing alcohol and Q-Tips.
   
6. Use whatever you're comfortable with. I use White Lithium Grease, and it seems t work quite well.
   
7. While you're at it, you can replace the grease on the head positioning motor's worm gear. If you want to go all out, you can carefully remove the head and motor, and thoroughly clean and re-lubricate both pieces (including the little bar the head slides on)
   
8. Put it back together, and run a disk through it a couple times to make sure everything is moving freely.
   
9. If you did everything correcly (and I did a good enough job explaining it all ), you should now have a fully functional drive!
   

If the head tension isn't correct (it randomly rejects disks unless you push down the head), then you can readjust the spring tension of the head.

I hope this helps!

c