Exam

You have a marginal chance. You can try it. All the best.

As you told that you have interest in every field I think you are an all-rounder. Jokes apart, all these courses are professional courses. You can't do this and that, and my best opinion is that choose as per your interest. And choose wisely. At this rank and mark, you can't get IIT.

Yes, you can easily get a seat in mechanical in NIT, Warangal.
Congrats.

You should first focus on your JEE scores along with your board exams, don't neglect either. You can't predict the JEE scores but if you are done with your preparation for JEE, start taking test series, the scores will tell you how well prepared to are.

No, there's a hard chance. But still try it.

The cutoff varies every year depending on the qualifying marks for JEE Advanced, but if you have qualified, you have maximum chances of getting in.

While preparing for exams, you just need to focus!
Prepare well for your entrance!
Make a time table and strictly follow up!
Take healthy diets and enough sleep!
Just believe in yourself and then u must be able to crack the entrance!
Good luck!

It depends on the caste you belong to. For general category it is difficult to get a seat with that rank.

No, you will not get IIT's with the rank of 33460 in JEE Mains but you can definitely get admission in best colleges in your city as well as the state. Best of luck for your future and if any query feel free to ask.