Ok, testied it out on this machine (4GB). Here's my observations.

1) The route drew ok with Cycling directions and followed the two bike paths correctly.
2) My cue sheet looks ok, yours has some strange mileage values leading up to the No Co trailway (they should always be in ascending order)
3) Went to add a course point - Computer hung for about 2 minutes.
4) When I zoom out a ways, the course point thing works instantly (I think there's a problem when you're zoomed in)
5) Remove complete segment had the same problem with #3 and #4 - also, the bike path confuses the remove complete segment, it removed the entire route from the turn onto the N Co Trail all the way til the end.
6) The "Undo" button only appears when you create the route, not when you edit the route.

I'll see if it locks up more on a PC with a little less RAM.