Visit Sanjay Van and enjoy the peace.
Visit chandni Chowk and enjoy street food like black jalebi, moong Dal halwa etc..
Visit ambience mall ice skating. You will feel amazing.
I guess the best place nearby you would be Chandni chowk but if you really want some peace visit Jama Masjid anytime of the day or if you wanna be close to nature visit Hauz khas village, you can also hangout near Hudson Lane