Holy cow, a cassette player? What a throwback, I love it!
Does this run on batteries. does it have an adapter so can plug in?
Yes to both.
Power: AC 120V or 8 x C batteries (not included).
In the 4th picture, you can see where the plug would go.
(Please note: I don’t work for Woot, I just volunteer to help out here on the forums.)