What model of camcorder is your original MP4 coming from and what resolution is it?
If this is non-camcorder video, it could have a variable frame rate, which can cause some strange behavior when you add it to a video editor.
In any event, if your only goal is to convert an MP4 to an MPEG, it might be easier to just use the free download Handbrake. No use using a full-featured editor if your only goal is to convert.
That's the tricky part... this video is for an AICE (International Cambridge equivalent of a high school Advanced Placement) project that is meant to be sent to Cambridge soon, and the project was recorded on a school TV-team camera. I am currently looking for somebody who might know what camera the school team uses, but until then, I have no idea.
The only reason I hadn't just used a free converter was because all the ones I've found (granted, my search wasn't relentless) only give free conversions up to about 300 MB, and this is way over (1.33 gigs actually, not 1.6). I'm going to try HandBrake though, I was not familiar with that version until now, thanks for that!