The big bang didn't happen in a single point, with everything moving outwards like an explosion.
The big bang happened everywhere. There is no centre to the universe, no central point everything is moving away from.
Because of this, stars and galaxies can form further away from us in lightyears than the universe is old in years.
There are an unknown number of galaxies that are so far from us, their light still hasn't reached us at all. They exist outside of what we call the observable universe.
The galaxy you are talking about was once outside of the observable universe. Enough time passed that it's light now reaches us.
And to answer your last question, the universe is expanding faster than the speed of light. There are lots of articles for this online that explain it better than I would.