Distance

Yes, you can. Some of the universities like Kurushetra University, Jodhpur National Law University, Anamalai University, Pondicherry University, offer it.

You can do B.E/B.Tech in the below mentioned AICTE approved distance education universities in West Bengal:
1. AMIE
2. AMITTTR
3. JU etc.

You need to qualify the entrance test in order to pursue MCA.

Not recommended, please go for full time and then pursue your certificate courses which shall aid you in placements.

Correspondence MBA means you can do MBA by self study at your own home. After enrollment, your college or university will send you the study material and they will have exam and a few assignments.
They have a fix tenure in which you will have to clear your papers.
MBA has four semesters generally and you have to clear them in 2-5 years depending on which college you enrolled.
You can go for Symbiosis and ICFAI for the same.
Best of luck!

Institution of Engineers(India), Jadavpur university, Nagarjuna university, Manipal university, Bits Pilani.

IGNOU, JNTU, YCMOU, Osmania University, Andhra University, Rajasthan Vidyapeeth and several private universities offer B.Tech through correspondence.

Dear Vimal Chauhan,
Contact with NMIMS, Symbiosis, Pondicherry University, etc.
All the best.

If you have the experience that the institute demands and is willing to take break from your job chores including a drop in your income and you are financially sound to afford your academic and related expenses for the duration of the course, then a full time executive MBA is advisable, but if you do not wish to break from your job, a DEB approved distance education MBA is advisable.