There are many places to visit in North India.... Nainital
Rishikesh
Mussorie
Dehradun
Dhanaulti Shimla-Kufri
Dharamsaala-McLeodganj Gulmarg
Leh-Ladakh
Go to Chitkul. I recently went there. The place is paradise with all the details how I went, mumber of days, where did I stay. And if you ar eleft with any question, let me know. And as you said, you have one week so, please do not waste it by going to Rishikesh.