Hi,
I am planning for our 1st honeymoon

. Its gonna be 4nights-5days starting around December 1st. After a lot of googling, I found Lucerne as a good destination. Now, I have some questions..
1) As, I have only searched on internet but i want to get inputs from some of the people that have actually been to lucerne....Is it a good honeymoon destination?
2) Is it snowy in early december?
3)What kind of clothes should i carry along?
4) Are there some veg Indian restaurants in Lucerne?
5) We are planning for a quite honeymoon only at Lucerne, so should i follow up some travel agency in India or its easy to book hotels and rail tickets online? Actually we came to know that these travel agency people take people in bulk and have their own timetables. So, we didn't want all this on our honeymoon. We have a budget of 40k to 50k INR (around 1100 CHF) for hotel stay.
6) I dunno how much the meals cost there. If somebody could give me an idea?
7) I came to know that there is a train journey from Zurich to Lucerne. If i travel in 1st class. How much the round trip costs me? (Is it around 10k INR?)
8) Also i saw on raileurope.com that there is a connecting train in Zurich-Lucerne journey...and the time difference is 8 mins. Is it easy to catch the connecting train within such short time span??
I know these are lots of questions. But I will be very thankful if somebody answers them.
Thanks in Advance.