B.Tech

In this situation, you are eligible for JAC counselling which may give you admission to DTU, NSIT or IIIT-Dif as you are a resident of Delhi.
However, the other options are NITs.
Use this college predictor below:
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Yes, there are fair chances of you to get admission in an NIT.
You can use college predictor below. It gives the accurate results.
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Chandigarh University is a good option. Other private universities are Thapar, Chitkara, LPU, SRM, VIT, Amity, Amrita, etc.

B.Sc is always better than B.Tech. In B.Sc, you get a better knowledge for research.

To get placed in the core field, you can take GATE exam and approach a company of your choice, but since it is intensely competitive, you could try getting into a good college for M.Tech and go for core placements from there.

VIT has a better ranking then AMU.

Especially for Aerospace engineering, it's better to select those institutes which are only meant for aerospace engineering.

You should score 188+ cut-off to get into Anna University.