So, taken literally, strength is a type of power. Taken metaphorically, though, they can be synonyms: strength is power and power is strength.
As for honor: honor you can’t uphold-- that is, for example, you make the attempt but fail-- is honor still. Really, I’d consider someone who strives to live up to what they see as honorable, even lacking the strength, as all the more honorable for that reason. Maybe a little impractical, but it seems like mostly what “honor” is usually for is to make a person reliable in certain ways, hence suitable for use by others who need someone to fill a role.
There might be some ways of being weak that would undermine honor badly, though. Cowardice, for example, would probably make it hard, but that might be describable as a weakness in honor even more than in a form of power. Then also, honor (like most things) can be described in terms of power dynamics.
And yet here you are trying.
The stories we tell both reflect and develop who we are. The stories we tell while drunk might reflect us more than most.