Engineering Ranking

Hello Aman,
Make sure you really want to do it before you embark on marine engineering.
Don't judge based on the information. Information gives awareness, but it can't change or create passion or interest. You will be away from the home for long periods of time. Depending on the vessel you are sailing in, you may or may not visit ports. Container vessels load and unload very fast, there is hardly any time to go sightseeing at any port. Tankers may not even go to the port, they might just anchor at open ocean.
But merchant marine is only one part of the industry. If you are driven, educated from a leading institute and pretty lucky, then you can find a job with oil companies or other vessels such as research vessels, etc. But these are very competitive and hard to find.
Or you may work for one or two years and get a Master'd degree and work for designer or consultancy, etc.
There are options, but first, you need to have that calling. If you feel you want to do CS, then you should be doing CS.
And by chance, if plan to go with your father's opinion, then do it with an open heart. There are opportunities everywhere, there are always new things to discover and new problems to mend. Once you have made a decision, never blame yourself.
If you want a change, try hard enough and you will find it.