Rainy Day Sun should affect fog effects, too. If it already does, it should be clarified. Otherwise, there just aren't that many kinds of bad weather to worry about, making it too situational for a 1st level chord.
Remember the Trashcan should have a duration of "1 minute or until discharged".
The Reaper should have a duration of "See text". I'd also recommend giving it a fixed duration of 1 minute, just for simplicity. The duration of unconsciousness also needs to be specified. The save should probably be for disbelief, and the chord should be a mind-affecting illusion (phantasm), since the fluff seems to indicate an illusory assault.
Inside the Winter Storm could probably use a slight buff, just compared to Presto Con Fuoco, which adds ~1.5 less damage but also gives energy resistance 3 and is usable at will.
Edit: Might want to give The Power of Rock Compels You a secondary effect. Nothing major, just enough to make it not be a highly situational thing at low levels.
Fastest Fingers in the West still refers to "power" feats.
I'd recommend against using so many specifically-Charisma-based effects in the power chords. I could totally see an Int-based chord-caster (say, a Remixer?) who would otherwise be a sad panda.
Double edit: While I'm here, how about poking some of the good video game music that's around if you run out of ideas. I know Iji and Ikaruga both have good music and actual track names.