India

1. Sona College of Technology - Engineering College
2. Anna University
3. Tamilnadu College Of Engineering
4. PSG College Of Technology

Some colleges in UP are:
1.National PG college, Lucknow
2.Chandra Shekhar azad institute of science and technology
3.Infoster education,allahabad
4.mahatma jyothiba phule rohilkhand university
5.ITS engineering college
6.HR Institute of technology
7.Lucknow university
8.Amity Institute of Information Techno

IHM, Pusa Road is the best college for HM in Delhi.

Nishchal, if you did not give JEE, try for admission in private universities like Amity, Sharda, Galgotia, etc. They offer admission on other parameters too other than JEE.
Outside Delhi, you can try for admission in Lovely, Chitkara, etc. They also offer direct admissions.
Infact Lovely is known for

Of course yes, I think you will get your choice easily and in the required college.

No, you should not take drop for CS in Techno India specially. If you are taking drop then you should take your chances for some much better colleges.

If your college has credit transfer arrangement and agreement with a foreign university then only you can do fourth year of DPharma abroad else you will face lots of challenges.

What is your category?