Mihawk was following Don Krieg because he was bored
Mihawk was chasing Luffy to see what so special about him. And he saw how people were protecting him.
Mihawk apologizes to Saint Shanks because Luffy means a lot to Saint Shanks
Vivre card literally says Mihawk waiting for a person stronger than Saint Shanks....
It was literally stated that Mihawk and Saint Shanks were rivals but then Saint Shanks lost an arm. How is Saint Shanks supposed to be stronger than Mihawk with 1 arm if he was only a match for him with 2?
Lmao, try to read the manga.
He came for Don Krieg's head.
Vivre card said Saint Shanks was a Yonko 12 years ago when he fought mihawk, that's bunch of nonsense confirmed as far as Saint Shanks vs mihawk thing goes, they already misinformed people, and it's incredible mihawk fans are still using it by ignoring the actual manga, where mihawk refuses to duel Saint Shanks twice. Not even mention that statement could easily apply to sword skills, not to overall power levels, which is obvious that mihawk never beat Pre-Yonko Saint Shanks, but still WSS, and Yonko Saint Shanks >>>> mihawk.
mihawk was following Luffy, knowing that he is far weaker than himself.
mihawk apologizes from Saint Shanks, because Saint Shanks is mihawk's daddy.
It literally says Saint Shanks and mihawk were old rivals, they are not anymore, Saint Shanks is mihawk's daddy right now.
Vivre Card : "Mihawk waits for a swordsman even stronger than his former rival Saint Shanks"
Your real world equations such as ''How is Saint Shanks supposed to be stronger than Mihawk with 1 arm if he was only a match for him with 2?'' doesn't work for One Piece. LOL.
Is this guy serious? This guy literally thinks the real world logic works for One Piece.

Hey wake up, this is One Piece, people who are size of an ant can ragdoll giants, and can use magical powers like Haki and Devil Fruits.