B.Tech

Hello Friend, Every Branch is good in their respective fields. Electrical is a core Branch, and you can say evergreen Branch, which is always in demand. This Branch is the backbone of all other many branches. Because any Branch like Computer Science, Information Technology, Mechanical, Automobile engineering etc. Depends on it. Now electric vehicles are coming, which depends on electricity. Many works in the world is depended upon electricity. When we talk about electrical Branch than it means:
Robotics, Electric Vehicle, Analog Electronics, Power Generation, Power Station etc.

You can not do distance B.Tech as of now because of the Supreme Courts Order. However, you can do B.Tech equivalent course from AMIE. Keep in mind that doing AMIE will make you eligible to pursue M.Tech and apply for government jobs. Other then that it doesn't help much.

Yes, you can just take entrance for the college you are interested in. If you clear, you're in.
All the best.

See, if you are a Delhi resident, then you can easily get the college at this rank but if you are of outside Delhi, then this will create problem for you.

You can easily get any of the colleges of your choice with this rank without having any problem. Plus, you are a resident of Delhi.
This will act as a booster for you to get a good college.