and it won't matter that you don't show up to every outside team-bonding event. Good people won't fault that you already have a life outside of work. If they do, you might reconsider working there for that reason. Otherwise, focus on the work, be engaged and open-minded, and you'll be fine.
Let go of the age thing. That is all a state of mind. And if applied right, your experience will be valuable. I say this from experience. I'm almost always the old guy now. But I keep my skills sharp and current and I listen to what others have to contribute. My age gives me experience, but I can always benefit from more energy and bold new ideas.