Just an update, I have been using 14in Mac Pro without monitor for past few days and not experienced a crash. As soon as I connect monitor it becomes a ticking time bomb, no particular pattern but it does crash very often.
This thread is about QuickTime Player, but I don't think it is Quick Time related. Many of the crashes I had, I was using Remote Desktop into a remote server and was not even using the laptop. It also crashed on using QuickTime once and hence I landed on this forum.
Just a hunch but I think it has something to do with "click wallpaper to reveal desktop", just a hunch. I notice that this feature does not work well with external monitor. In fact, even without monitor this feature tends to make the laptop unresponsive for a moment..... QuickTime freezes, iMovie starts to show spinner etc.