Hyderabad

Yes, it was my first option and for you I will suggest you to choose Symbiosis over Amity because Symbiosis is any day a much better brand than Amity.

Check out the college predictor like Shiksha college predictor https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor where in you can find it else go for official TS EAMCET site where in you will find the opening and closing rank of engineering colleges in Hyderabad.

Hello,
Check out the college predictor:
https://www.shiksha.com/b-tech/resources/jeemains-college-predictor.
Best of luck.

Yes, you can do it properly.
The life in the college will teach you all the ways to lead your life, the faculty there is the best, where the guidance will help you in any way to your problems, the various programs and cultural events will give you the experience to go through the stage fear and challenges, the infrastructure is average but if the facilities are provided, this will be the best college in that locality. Students can commute easily from various destinations.

Yes, it is a budding law school but it promises good future prospects. You can get admission based on the CLAT score.

As far as I know, there are a lot of govt. colleges in Hyderabad whose fee structure is very low that any one can afford. JNTU is a very good govt. engineering college in Hyderabad. Its annual fees is around 10-20k. It's a good and reputed college with low fees.