Taking a red eye or international flight is always really difficult on the body, especially if you're flying on that poor man's budget on basic economy. You want to make sure your body is well rested during the flight so you're not paying for it when you're traveling. I've heard of too many horror stories of my friends not having good flights and jet lag ruining their trips, or other friends who didn't take care of themselves on a 11 hour flight that got them sick for days.
Here are my tricks when it comes to mastering these flights:
Do what makes sense for you! Maybe you're not so sensitive to your surroundings and just need a good pair of headphones and good music. Whatever those things are, figure out what makes you comfortable to that your body is well-rested, and ultimately that you make the most out of your travels!