Hey Rakesh, From where you are starting the trip as Agra and Amritsar are in oppostie direction from Delhi. If you are starting from Delhi then you can choose one of this itinerary : 1)Delhi->Agra ->Fatehpur Sikri ->Jaipur ->Pushkar 2)Delhi->Chandigarh->Manali->Amritsar
Hi Rakesh, I can help you with Agra and Delhi. This link may help you to know about Agra : https://www.tripoto.com/trip/agra-shahjahan-s-home-icon-of-india-5bab52190460e 1 or maximum 2 days are enough for Agra. About Delhi : You can visit the following places :
Kutubminar
LalKila
Jama Mashjid
Humayun's Tomb
Connaught Place
Saket City Center Mall
Lotus Temple
Escon Temple You can come Delhi first then Agra from there you can go anywhere like in Rajasthan or Shimla Thanks