macros - Excel sort dates to be in oldest to newest without changing grouping

I have a list of customers with due dates and corresponding payment dates but the payment dates weren't updated in the correct order. Is there a way I can sort the payment date to be in order without changing the order of the customer and their original due dates? Either thru a look up that can get the dates in order or thru a macro. I've tried using a large on index match but was unsuccessful. Any help would be great!

Data set looks like this

CUSTOMER, DUE DATE, PAYMENT DATE

Toni,     1-Jan 17, 17-Mar-17

Toni,    16-Jan 17,  2-Mar-17
Toni,    31-Jan-17,  1-Jan-17
Toni,    15-Feb-17,  1-Apr-17
Rr,       7-Jan-17, 15-Feb-17
Rr,      22-Jan-17, 16-Jan-17
Rr,       6-Feb-17, 31-Jan-17

End result should look like this

CUSTOMER, DUE DATE, PAYMENT DATE
Toni,     1-Jan 17,  1-Jan-17
Toni ,   16-Jan 17,  2-Mar-17
Toni ,   31-Jan-17, 17-Mar-17
Toni ,   15-Feb-17,  1-Apr-17
Rr,       7-Jan-17, 16-Jan-17
Rr,      22-Jan-17, 31-Jan-17
Rr,       6-Feb-17, 15-Feb-17

Apologies in advance for the poor formatting as I'm still new.