Here's the beginning of the error output. It repeats for a good 10 seconds before it clears.
TypeError: Error #1009: Cannot access a property or method of a null object reference.
at fl.video::VideoPlayer/http://www.adobe.com/2007/flash/flvplayback/internal::closeNS()
at fl.video::VideoPlayer/stop()
at fl.video::FLVPlayback/stop()
at Function/Main/$construct/updateTapeTimer()
at flash.events::EventDispatcher/dispatchEventFunction()
at flash.events::EventDispatcher/dispatchEvent()
at fl.video::FLVPlayback/http://www.adobe.com/2007/flash/flvplayback/internal::handleVideoEvent()
at flash.events::EventDispatcher/dispatchEventFunction()
at flash.events::EventDispatcher/dispatchEvent()
at fl.video::VideoPlayer/http://www.adobe.com/2007/flash/flvplayback/internal::doUpdateTime()
at fl.video::VideoPlayer/http://www.adobe.com/2007/flash/flvplayback/internal::closeNS()
at fl.video::VideoPlayer/stop()
at fl.video::FLVPlayback/stop()
at Function/Main/$construct/updateTapeTimer()
at flash.events::EventDispatcher/dispatchEventFunction()
at flash.events::EventDispatcher/dispatchEvent()
at fl.video::FLVPlayback/http://www.adobe.com/2007/flash/flvplayback/internal::handleVideoEvent()
at flash.events::EventDispatcher/dispatchEventFunction()
at flash.events::EventDispatcher/dispatchEvent()
at fl.video::VideoPlayer/http://www.adobe.com/2007/flash/flvplayback/internal::doUpdateTime()
Since Display is the only object being targeted in that line, and it is targeted in a line just before it without error, I suspect that line is not the first line in the trail of errors. I think the error is erupting from within the FLVPlayback component at some line relevant to a function within it named closeNS().
It is possible there is something being processed in that function which gets nulled but then with another call to the function maybe it is failing from there on.
What you might try doing is removing the event listener inside the conditional so that it only executes the event handler until the event occurs and not afterwards.
if(tapeTime > stopTime){
Display.removeEventListener(VideoEvent.PLAYHEAD_UPDATE, updateTapeTimer);
Display.stop();
}