You need to do more research about the value (to the two of you) of each of those destinations. For example, Zurich is a major air center, but Zurich and the Rheinfall pale as outdoor destinations in comparison with the rest of Switzerland-including Lucerne, the most accessible lake/mountain destination. BTW, are you aware of how exposed you are to foggy days in Switzerland?
Have you (for example, using Rick's book) timed out the Lucerne day? It's very busy, and you won't have time for any art or architecture in Lucerne. I presume you don't care about the expensiveness of Switzerland.
Do you have any interest in the history of art? I ask not to be snooty, but you don't show any knowledge of what a rich destination the city of Florence is. I can't see spending time on wine tastings when you are missing so much of Italy. Day 7 is totally unrealistic. Do you mean you're selecting just one of those towns?
I realize that Singapore is a long way from Western Europe, but this is not a visit to the mainland from the UK - it's a high-altitude flight over a microscopic subset of European tourism. Have you been to Paris? A round-trip rail journey from London would be a better use of the week. With Versailles and Giverney, you'd easily fill a week. How long are you spending in the UK?