Hi Dave, To me it sounds like the motor isn't getting enough power or is faulty. Could be power delivery related here, though the tonearm not adjusting or moving at all after pressing start tells me some other component may not be aligned or in place properly. You could take the thing apart, test components with a multimeter, etc. but the things are not made super well. It may be more frustration than the thing's worth. To be certain here, have you tried plugging the unit into another outlet? Instead of pitching the unit, I would sell it as-is for parts if you don't want to fix it up. While it may be of no use to you, the otherwise brand-new components can be of use when repairing other units!
You may need a multimeter to check if the motor itself is dead. If it is the motor, the replacement may be available via Audio-Technica directly. The part is weirdly hard to find online otherwise. you can contact them via email at parts@atus.com. (If in the USA, check your regional Audio-Technica site for a parts page otherwise.) It will, however require a bit of soldering to replace as two of its wires are connected to another board directly instead of via a push connector. You can see details as to how to do this in this guide for its predecessor: Audio Technica AT-LP60BK Motor Replacement The internals are the exact same between the LP-60 and the 60X layout-wise. AFAIK the only major changes were in the physical appearance of the turntable. I would not recommend de-soldering while the motor is still in the unit (as in that old guide) as the entire shell is plastic. It's also just a big unit, which you already know due to owning one. It'd be annoying to work on it like that. Does it indeed make a...