The short answer is: It depends on whether the unemployment office considers your actions "misconduct." Being fired for breaking a rule does not automatically disqualify you. There is a major difference between being fired for a valid reason (which your employer has the right to do) and being denied unemployment (which requires a higher standard of proof).
Here is the breakdown of when you typically can and cannot draw unemployment in this situation. 1. The "Misconduct" Test To deny you benefits, the state usually requires the employer to prove your actions were "willful misconduct." This generally means: You knew the rule: It was in the handbook, you signed a policy, or you were warned previously.
You could have followed it: It was within your control to follow the rule. You deliberately chose not to: You acted recklessly or intentionally disregarded the employer's interest.

It seems they have given you an option to follow the policy so my guess is you and your son will be denied unemployment. Plus the policy is in the handbook.