Nilsen:
Don't miss Edinburg. Visit the castle and taste some scottish cuisine...and liquor. Reccommend GLENMORANGIE.
The dark ales are also a blast.
Haggis is good.
Better book hotels in Edinburgh through a good connection, or make it a package holiday, for just walking in is expensive.
If you want to move deeper into Scotland, well, then I'd have a go at Loch Ness, where you can take a good cruise, or make it a circular travel, approx, Loch Lomond-Highlands-Aberdeen-Edinburg.
Where do you fly to anyway?
Glasgow isn't that bad, but nothing to linger on. Nice nightlife if you know where to go.