BSEB

Hello dear, your rank is decent, and it's sure that you will be getting government Colleges in Bengal. The ECE branch is good, I prefer you to go for it. It will give you placements in telecommunication companies like Reliance, Airtel, online shopping industry and many more. Go for the link below to find some Colleges on the basis of your WBJEE merit:
https://googleweblight.com/i?u=https://www.shiksha.com/b-tech/resources/wbjee-college-predictor&hl=en-IN&grqid=IryXv5Dn
Best wishes for your brighter career.

Yes, you can surely get admission for ME easily. It will be difficult to get CSE in a good college, but you would get in an okay college for sure.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7476690
Check this out.
Hope this helps.
Best of luck.

Yes, you can apply for their exam. However, as per my knowledge, they have just 4 all India open seats. So, if your parents are from the army, there is a high possibility of getting it.

Hello Anjali,
It's very heartening to see your desire to do graduation. Keep it up. As per my information a student needs to obtain a minimum of 50% marks to get admission in BA (Hons).
I am attaching a link that will give you all the required information about admission in BHU.
http://www.bhu.ac.in/course/ug.php