I wouldn't worry about the University places. If Scotland gains independence the universities in Scotland would essentially cease to function overnight, so you couldn't get a place worth having even if you wanted one. This is particularly true for the major research led institutions (Edinburgh, Glasgow, Dundee, St Andrews, Aberdeen) who rely on research income to support their teaching capacity.
Not fear mongering, I know for a fact that the one I work at doesn't really have a plan for what would happen in the case of independence because it would be so cataclysmic to the entire sector, and there are so many unknowns (or SNP unspokens), as to render all planning meaningless.
The Scottish University sector is not a cheery place at the moment.