Rotation-Translation constrain problems

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Hello all,
I'm currently working on a project where I'm modelling a traditional bench vice. However, I have run into some problems in my final assembly, especially regarding a rotation-translation constraint. I have attached a pack-and-go *.zip file with the relevant parts and assembly to this post.
1. As you can see in the assembly, Part 5 - Shaft screw is constrained to Part 4 - Nut with two constraints. The first is an axis constraint to line up the shaft with the nut, and the second is the rotation-translation constraint. As I understand it, this should give the effect that the shaft screw rotates as it is being moved in and out of the nut. As you can test yourself, this does not work at the moment.
However, if you suppress Mate 3 for Part 4 - Nut (which is one of three constraints holding the nut to the base) the rotation-translation for the shaft screw starts working as it should. Although the nut is now free to rotate in one of its three axes, which it can't be for the final assembly.
Does anybody here have a good explanation for why this happens? Or possibly an alternative method of constraining the parts which achieves the same result?
2. You will also see a handle with a ball on each end in the same assembly. This handle should be mounted in the hole on the end of the shaft screw. It should ideally be free to move side-to-side, stopping when the balls hits the hole in the shaft screw. I have tried many methods of constraining this part into place, so far without success. Either the handle constraints breaks the functionality of the rotation-translation of the shaft, or it is under-constrained, allowing the handle to move beyond the limits of the balls. Sorry for the long explanation, but it should be clear for anybody who have seen or used a bench vice in real life.
Thanks a lot for any assistance
EK