By restore do you mean print back to your VCR?
If yes then it depends on your capture device. If your capture device or your video card, they must have a supported output, if all the criteria is met you can output to the VCR.
In VS9 after you have edited your video and are ready to output, select Share, Project Playback and select what ever you want on the next screen.
There may not be a whole lot you need to do with Videostudio or any other program if you let the capture device do most of the heavy lifting.
If the tapes are old and/or degraded, you will need some hardware support for correcting weak or out-of-spec video signals, or you'll find up with lots of dropped frames or results that look worse than the original tape. Other problems may include the capture device falsely detecting a Macrovision subsignal and refusal to capture the material.
You will definitely want a VCR or capture device (or hardware filter in between the VCR and capture device) with a TBC, or Time Base Corrector. This will regenerate the video signals. I also would not use separate capture devices for the audio and video (a video card with Video In / Video Out and a SoundBlaster, for instance) -- this will inevitably lead to out-of-sync audio and video.
You could use video filters in VS9 to improve your video but it would take an excessive amount of time to render the video.
If you are using a analoge capture card, in the setup of the device in VS9 you can adjust the hue, contrast and color. If that is all you need to do try it that way.
I have the equipment that THoff suggests using, however, the expense of the equipment doesn't justify the imporvement in the video.