Okay, some comments, In O2 copied down, you have

=IF(AND(H2>=EDATE(A2,-1),COUNTIF($G$2:G2,G2),H2<=EOMONTH(EDATE(A2,-1),0)),1,0)

The middle term (COUNTIF($G$2:G2,G2)) will always be true. Do you mean to use COUNTIF($G$2:G2,G2)=1?

Anyway, to prevent a second visit within the same month as showing up as a 1, try this in O2 and P2

=IF(SUMPRODUCT(($G$2:$G2=G2)*($A$2:$A2=$A2))>1, 0, IF(AND(H2>=EDATE(A2,-1),COUNTIF($G$2:G2,G2),H2<=EOMONTH(EDATE(A2,-1),0)),1,0))

Again, removing that COUNTIF gives same results so get rid of that too.

=IF(SUMPRODUCT(($G$2:$G2=G2)*($A$2:$A2=$A2))>1, 0, IF(AND(H2>=EDATE(A2,-2),COUNTIF($G$2:G2,G2),H2<=EOMONTH(EDATE(A2,-2),0)),1,0))

Does that help?