Can you teach yourself to dance?
Dancing is something you can definitely learn on your own! You don’t need to go to a studio or have a dance teacher. There are plenty of credible resources online that can give you all the tools you need. All you need to do is stick to practicing consistently.
Where do you look when dancing?
My advice, for traditional social dancing : Relax your neck. Your eyes will look forward, horizontally (level) in the same direction as your toes. Do not tilt your head down or up, or sideways.