Can you describe the video content? Is it Interlaced footage from a video camera, by any chance?
If so, it sounds like the Field Order has been set wrong somewhere along the line. When rendering the MPEG-2 video, be sure you keep the field order true to the source (that is, don't alternate between Bottom Field First or Top Field First).
If it plays fine everywhere else, it is probably okay
my guess, and it's just a guess, is it's because your laptop display cannot do interlacing, and as a result it does not look as good as it would on a TV
Also, if your laptop is not top notch, it may not be able to quite keep up with playing back mpg2 videos smoothly
If it was Field order reversal, it would also look jerky on quick movements.
What software are you using to play the DVD? A good program like Cyberlink PowerDVD can really deinterlace well.
Remember that most DVDs you might watch are progressive. You might want to check your DVD playback on your laptop with something that you know was shot on video like an excercise video or something.
It's a video that I shot and edited, and I rendered it as a progressive-scan MPEG-2 with audio included in Vegas. Then I imported the video into DVD Architect and followed the standard template.
I don't know if DVDA's compressions bring in interlacing automatically or not. Or how to get rid of the interlacing if it does.