Recently I have been to Jaipur. I can say it is the most beautiful city. You can check out my recent blog on that. But avoid going to Rajasthan during summer as its too hot at that time.
Not at all . Bunjee Jumping mainly in Rishikesh and it is highest in India best go for it. For Paragliding you can go Bir Billing, for Hiking there are lot of things but depends in which area you are going.
Manali is the perfect place along with Amritsar and wagha border. If you have little patience watch this space for more detail - https://www.facebook.com/flatexperience/