From Skye to Glasgow, if you have time see some of the coast North of Ben Nevis. There are some little known villages and beautiful beach in a tiny wee place called Morar (between Arisaig and Mallaig). From the beach you can see Skye, Rhum, Eigg if it's a clear day. Beach tends to be very peaceful and quiet - not many tourists, and worth a visit...
There's good nightlife in Glasgow, but it's not really a tourist city. Glasgow has a good public transport system, but not very car friendly - lots of one way systems, expensive parking and so on. I wouldn't spend much time there.
I recommend the East Coast - Stonehaven is beautiful for a day trip - recommend Dunnottar Castle and if you go in summer there is the heated open air pool and a wee cafe nearby I recommend called 'Molly Gunnings'. Royal Deeside and the Cairngorms very beautiful and very Scottish scenery. Also a lovely beach just North of Aberdeen called 'Balmedie Beach' which is a nature reserve.
Elie and St Andrews further south are also really lovely places.
In Edinburgh - do a night time 'Witchery Tour' (the other 'ghost tours' aren't nearly as good or fun). Botanical Gardens are good if the weather isn't great. Try and climb Arthur's Seat and Edinburgh Castle is a must (if you go on a Scottish national holiday I think it might be free entry...). And a trip to Edinburgh Zoo is recommended...we have penguins!!

