Do companies have the right to drastically cut hours as "incentive" for employees to sign customers up for additional services that are pure profit and separate store revenues?
Generally, your employer has the right to cut your hours as he sees fit. However, if you have a contract or the reason he is cutting hours is to promote a scheme that violates public policies, then it might be actionable. A lawyer would need to know more about your particular situation before rendering an opinion.
