//It would be for the courts to decide whether women would still enjoy the right to equal pay.//
It has been since 1970. Any employee who has a grievance over pay can take her (or his) employer to court (normally an employment tribunal). An adjudication will be based on provisions of the 2010 Equalities Act and, before that, the 1970 Equal Pay Act. In common with all legislation, any circumstances not covered by the legislation itself would rely on either case law (i.e. precedents) set in similar circumstances or, if none is available, a ruling by a higher court (by way of appeal) can be sought.
What other tribunal do you suggest should rule on such matters? Or, as is common with many supporters of the EU, are you suggesting that only a European court has the competence to make such decisions? If so, I have news: one of the reasons many people voted to leave the EU (apart from them being bigoted racists, of course) is to reserve those competences for the perfectly competent UK court system, operating under legislation framed by the UK Parliament.
This is now the third time I have seen you (ably assisted by your mate Phil) attempt to demonstrate that the wholesale ditching of UK citizens' rights is imminent. It is also the third time I, and others, have shown those claims to be nonsense. Incredible as it may seem the UK has a perfectly adequate framework of legislation and Common Law which protects the fundamental rights of its citizens and leaving the EU does not alter that.