Java

Pankaj, I am not sure how good you are with maths and programming. If you are, then you must pick up Programming and take a language whether PHP/ HTML5 (web dev), .Net (for software dev) Java/ Android (for apps) or C#/ Unity (for games). However like i mentioned, you must be good with programming to move ahead in this area since you have to compete with MCAs and BTech(CS) applicants. So choose your internship/ industrial training very carefully. Do not just go for the cheapest to save money. See the IT company's credentials on the net. for example if someone provide LIVE PROJECTS are they there near the TOP on PORTALS like JUSTDIAL? Or if the company is registered with STPI (Software Technology Parks of India) - all good IT companies are registered with STPI. If a company spends money to market themselves to customers, only then they are able to get LIVE PROJECTS. Also, if you are an average programmer, and if you you're better with creative work, then you can head for web design or even vfx/ animation since there is a huge requirement coming up in that domain. There is also an intermediate path in games design and development. Wish you the best for your career. Remember, your Career is a resultant of your knowledge combined with your passion and expression ability. If you like this answer you may select it as best answer or press like.

Hi Buddy,
The question is bit difficult for any one to answer because neither we can't predict the usability nor we can consider any programming language as best.
Before I answer you question I will say that Both .net and Java have their own pros and cons.
Now As per your question
1. JOB MARKET TRENDS(mainly India)
The job requirement for both java and .net is now stable, but if you look for medium range company then I will say that with .net you will get job easier.
Note* for MNCs it doesn't matter you have .net or java, Once they only want smart and fast learner.
2. Which is easier to learn and why?
.net is considered as much easier than java because microsoft has created a powerful IDE i.e. visual studio which helps you a lot in learning as well as developing app fast.
As .net and its related framework is created by one vender (microsoft) so you have all the documentation available but in java documentation is sometimes bit hard to find.
3.Does .NET have core and advanced learning paths like java(SE & EE)?
Yes, .net do have advance learning paths
.net have c# with .net, asp.net, MVC and many more.
4.Learning Plans
Java steps:
1. learn basics i.e. Core Java
2. Learn JSP and servlet,
3. then comes MVC framework like struts and springs
4. have knowledge of database and related framework like Hibernate
.Net steps:
1. learn c/c+
2. learn c# and then .net
3. learn asp
4 learn hibernate for .net and sql server.
Its a long journey start with one and later you can have other.