@yhubeee,
Of course you should go out with him. Why not?
What if he thinks you are too young for a serious relationship? That will become clear, and you will move on. My advice is to simply enjoy the date, whatever happens. If he isn't interested, it might be a little awkward and you might be a little sad... and you will move on. That's what we all do. Unless I knew the guy, I couldn't possibly know what the date means to him. He clearly wants to spend time with you, right?
When I ask a woman out for a first date, my goal is to get to know her better. If I am going to spend the time then I have at least some interest. I never have any long term plans before a first date. As man, I want to have an enjoyable time and to get to know my date better. I hope my date will be relaxed and have fun being with me. That is my main goal.
Dating is often awkward, that is the nature of this social interaction. The key is to enjoy it. Be clear with yourself what you want, but while you are there, have fun. I wouldn't worry about the age difference.