Those odd 'short' pieces you mention look as though they are wedge shapped (i.e. the non keyed end is thinner. I suspect that the idea is you would fit them to one of the 'Y' ends (i.e. the forks) and use it as a rolling loader for your trains. If you check out the special Advance track set that was released a year or so back you will see it has exactly the same feature. A specialised set of points with a sloped dead-end to allow you to roll the train onto it, turn it on and let it load itself onto the rails rather than fiddle around trying to seat it correctly.
Happily collecting things all my life...