countif??? Struggling!!! (Now with file attached)

Good morning All,
I have a problem I am looking for some help with:
I have a sheet that has a list of initials, target dates, and actual dates. (Column E,F,G)

SC 09-Mar-16 09-Mar-16
SF 09-Mar-16 09-Mar-16
SF 10-Apr-16 22-Mar-16
AW 10-Mar-16 11-Mar-16
JM 10-Mar-16 11-Mar-16
SF 10-Mar-16 11-Mar-16
JM Monitor 21-Mar-16
JK 11 Ma 16 11-Mar-16

What I want to do, is have another column that will count the amount of occasions (by month), that each set of initials goes over the target date. on sheet 2
I have tried things like =COUNTIF(Sheet1!G$5:G$700>F$5:F$700,"*Mar-16",E5) but it does not work. First attempt returns an error saying too many arguments. Next attempt returns a value of zero.

Any help on this one please??
Thanks in advance.