Engineering

Hi buddy,
You can use this link to find out your answer. Although you have slim chances:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=6375912.

Yes, you are eligible except CSE or ECE or EEE.

Yes, you may participate in the 2nd counselling.

Yes, why not but you are considered under non-local category.

After 1 week from completion of all slots.

It varies from one college to another college.

No, you don't have any chance of getting seat in JNTUH.
It is the top-most university in TS, you should have 3000 rank or above.

Through EAMCET, you are eligible for studying B.Tech only if you get admission through AUEET then you are eligible to study B.Tech+M.Tech (dual degree) but you can avail an exit option after completion of B.Tech
However, engineering courses through AUEET and EAMCET are same.