It does look like a box turtle. If this is a wild caught it should be brought back in nature as it will probably never be happy captive and eventually die. If it is not look at the box turtles care sheet. They need a moist substrate and a water area(not too deep).
It's a terrestrial box turtle.
Not a water turtle.
There may be laws in your state about keeping such an animal.
They live in wooded areas. I suggest you place it back where it was found.