Bangalore

MSR and RV are among the top colleges for which you need less than 2k rank.

The cut-off for RV is less than 2k.
All the best.
Check with your rank.

There are colleges like Jain University and DSCE(Dayanand Sagar College of Engineering). These two are top in Bangalore and good recruitment depends on the market of aerospace and aeronautical branch at present. This field doesn't have much scope but 4-5 years later it'll be having a good scope in India.

It has started and will go up to July end.

I certainly don't have much information about MILE, Pune, but for PGDM since I am studying in ABBS I would say you can consider ABBS because here they offered PGDM regular, PGDM global and PGDM bifas for finance students so you do have more options to go with. All the best.

For marketing, I would suggest you to go for ABBS followed by AIMS and IBA.