Programming

Yes, you can get good internships in various companies depending upon your skills and confidence to work. Many online sites like Internshala offers various internship opportunities to students to start their career.

Hello Jai, It's a huge topic and there are plenty of languages that one can learn. But silver lining is that there are plenty of institutions in the market to teach language. Almost every language has enough potential for employment. Instead of me advising you, it's best that you interact with couple of such institutes in your city to know about whole system and then take a knowledgeable decision.

Yes, you should join Government Polytechnic College, Delhi.

I suggest you to learn machine learning. The future scope of data scientists is great.

Best books for Python:
1. Dive Introduction Python
2. Think Python
3. Mastering Python
4. Effective Python.

Yes, Of course you can go with IT engineering. It isn't compulsory to have knowledge about programming. You can learn it after admission very easily. If you have interest in computer then definitely you have to go with. IT.

Assuming you're asking this because you're not confident of your calculus skills, you've nothing to worry about. A computer can perform arithmetic and logical operations only. Any and all other computations can be emulated via programming.

Data Science has become the new desirable IT job. While there are only a few in the market conversant with the terms like Python, Machine Learning, Deep Learning and Transflow, it is also a fact that these skills are high in demand.

If you can learn only one for now, go with C. Also, get acquainted with OOP, if you wish to master Java.

Learning C will be better. It'll help you get over syntactics and ease your learning.
Also, some knowledge of OOP is highly recommended, preferably via C+.