How can I create a video clip from segments of an existing AVI file?
Solution 1:
VirtualDub.
Solution 2:
Another option would be AviSynth, given that your requirements appear to be very specific as to what parts of the material you want to use and not use. It appears that you already know what you want to use and not use.
Check out this good tutorial guide for AviSynth: http://www.reghardware.co.uk/2009/06/25/beginners_guide_avisynth/