Good evening everyone

one question about the resolution of the challenges

If I win a power chal by4 or more total STR and I attach the Banner for the Storm to a knelt character do he stands?

In other words does the keywords like renown vigilant or vangeful are resolves after or before responses to the challenge resolution?

Keywords and other passives are resolved before Responses. So when you win a challenge and attach Banner of the Storm to a character using its Response, the Vigilant it gains will not stand it for the same challenge. You'll have to wait until you win the next one.

(Note: Renown is actually resolves as part of the actual challenge resolution - along with unopposed and claim - rather than as a passive effect.)