About the menu:
I agree with Dave, that you could perhaps explore possibility to have it vertical, albeit you could gain more with simply restructuring and hoping you can fit all menu items in one row and still have only 2 levels.
However, another alternative would be to have the top navigation contain only the most primary and sought after links that most users are looking for. I am pretty sure you are stuffing all that information there just because you have to put it somewhere, and I don't think you have done any significant user research, card sorting or anything of that sort.
So what I'd suggest is, to get a bit more clue what your users will be mostly looking for and put only those links in the top navigation so they fit in nicely.
For the rest of them you could develop a larger footer link menu where they could be presented in a simple list, in 2-3 columns. If possible, add search functionality to your website (at least through google).
Although, the current trends are moving away from large footers, in this website's case they would be an improvement in UX.
And you don't need the white text shadow on hover. Frankly, you need very little of the effects you currently have on your site.
All in all, this page has too many of bells and whistles which, frankly, do not ad up to the total user experience. Your users get BOMBARDED with visual/cognitive input and if you asked me to recall what I remember from it after looking at it for 20 seconds, I could probably name 2-3 items. I was too amused by seeing resurrection of blink and marquee in 2014.
I would strongly suggest migrating to a more neutral color scheme.
Here's a sample list of health related webpages from few European country governments':
Also I hear India has a quite large smartphone user base. How are you optimizing for them? I don't see anything along the lines of responsiveness.