Under the Central Rules, there is no such register of Fines, I understand. However, the same is there under some State Rules. The objective of the same is not known to me also because Minimum Wages Rules should not have anything to deal with collection of fines which is a subject of Payment of Wages Act. However, as already said, you need to follow either of these and can maintain only one format of the register.
Madhu.T.K