Do equal rights have equal justice under the law?

Yes

Explanation:

(Assume everything below happened under the same circumstances- for example, the convicted man and woman had no criminal record prior to the event, both majored in the same fields and applied to the same job, etc.)

Equal rights, equal justice. Simple.

If equal justice wasn't included, then it wouldn't be equal- for example, if a white man and a black woman were charged for the same crime and the black woman was given a harsher punishment, that wouldn't be equality- even if they were both paid the same in the workplace.