WebAssist does not currently have a solution for putting video on web pages, but there is no reason why you shouldn't put video where you want it.
There are a load of applications out there that will help you to do this. Until recently most players embedded flash movies, but now - with HTML 5 in the pipeline, and with Adobe and Apple at loggerheads, it would make sense to use a solution that is likely to be fairly future-proof, and will be as friendly to Apple gizmos as it is to Windows users.
Probably the easiest non-app solution would be to just upload your video(s) to a you-tube account, and then take the embed code straight from the you-tube page and paste it into your site page where you want it to appear.
That way you get the video presenting on your web-site, and also get a wider audience and (hopefully) more hits by having the video on You-tube. At the moment, WebAssist uses You-tube for their own video presentations.
Post back if I haven't made sense or you need help.