Never stay late unless there is a true crisis. Once a month maximum, and stay only if it's comfortable.
Think of how work affect your life. If it is worth it, even just for a while, to prioritize your work - that's can be ok. But overall life is the main goal.
Set boundaries. Don't be available all the time after work. Take days off. Take breaks. Go home early. Say you don't do stuff that is immoral. Be respectful and show that you should be respected as well.
Yes, When there's a big issue - make the extra effort. So they will trust you to be there when it is needed.