See, in other leagues in Europe, Germany for example, they put all teams - and I mean ALL teams- in the 1st Round. Usually by the 3rd round you have most Amateurteams gone, which is mostly October/November.
Even if they would play all December/January they hardly would have these kind of problems.
Apart from this stupid replay rule! 1 Game, Overtime, penalties and over!
I hate Cup competitions in Scotland and England.