I need an expert answer on the skills needed by a graduate electronics engineer
The ability to communicate effectively, without a doubt.
If I were looking to hire someone today, I'd be looking for someone who can give a straight answer to a straight question without waffling or going off topic. You'll need to be able to understand what a product is required to do, how it will be used, and what factors govern how well it meets the customer's needs.
Also, it's not what you can do (technically) that matters, it's what you can explain to other people you've done. It's pointless coming up with the greatest device in the world if you can't describe it clearly to someone able to understand and appreciate it.
what are the products to design that meets the market demands as an entrepreneur.
If you're looking to go into business yourself, then this is really the first question to ask
before deciding what area of engineering to focus on. You're in a much better position than I am to know what your local market demands.
Give your customers what they want. Not what you think they need, or what you've already decided you'd like to make.
Normally I'd recommend working in the industry for a while, to make contacts and pick up skills, before trying to start your own business. Whether that's possible in your location I don't know.