In the birth chart of boy Mars is placed in the tenth house from the lagna while in the Moon chart Mars is placed in fourth house from the Moon. Hence boy is not Mangalik from the Birth Chart but Chandra Mangalik from the Moon Chart.
In the birth chart of girl Mars is placed in the seventh house from the lagna while in the Moon chart Mars is placed in fifth house from the Moon. Hence girl is Mangalik from the Birth Chart but not from the Moon Chart.
Both charts have partial mangal dosha or also known as anshik mangalik. As both charts have partial mangal dosha they are compatible on this front.
Blessings,
Navneet Khanna
Astrologer