⟩ Where you record refund of registration fee?
If the registration fee refers to an amount you are refunding because someone had originally registered for one of your programs, I would:
1) credit Cash for the amount you are paying out as the refund,
2) debit a contra-revenue account such as Refunds of Registration Fee Revenues. This will allow you to easily track the total amounts of refunds that you make during a year. On the other hand, if it is rare for your organization to refund registration fees, you could simply:
1) debit the amount you are refunding to the normal revenue account such as Registration Fee Revenues
2) credit Cash.