Hawkgirl can fly and defeat some opponents. Sadly for her she just can’t beat enough opponents. In the entire Justice League (Main 7) she is the weakest. She just lacks the power that the others possess. Flash wins.
Martian Manhunter can beat Hawkgirl with ease. Hawkgirl has her hand to hand skills, but it won’t be enough to defeat Martian Manhunter. Martian Manhunter is a shapeshifting alien with powers that Hawkgirl cannot defeat. Martian Manhunter wins.
Green Lantern (Stewart) has his power ring, and with it he could defeat Hawkgirl with ease. Hawkgirl can fight, but not enough to win. Green Lantern (Stewart) is one of the stronger league members and wins this fight. Green Lantern (Stewart) wins.
Wonder Woman has super strength and can take down Hawkgirl pretty easily. Hawkgirl has a mase, but it’s not tough enough to knock Wonder Woman out. Wonder Woman is basically a weaker Superman and outranks Hawkgirl in fighting abilities. Wonder Woman wins.
Hawkgirl has her mase, but it’s just not strong enough to take down Batman. Batman has his Batarang which he could use to disarm her. After that with his superior hand to hand skills Hawkgirl won’t be able to take him down. Batman wins.
Superman is the man of steel and loses to few opponents. In DC he may just be the ultimate fighter. Hawkgirl can try to fight him, but in the end she will fall. Superman ends his part of the arc on a high note. Superman wins.
Hawkgirl doesn’t have enough Power to stop Burter. Burter is the fastest in the universe and should be treated as such. With his speed there aren’t many who can keep up with him. Hawkgirl may have a weapon, but it won’t be enough. Burter wins.