14)
This is quoted from a fighting video game, so it would more likely refer to power/ability/skill/strength than social status.
16)
バリッと would be originally from what Glenn-san quoted, but this usage is her (or the author's, of course) original one. I think it means something like "easily".
17)
It's the same as the above about っち. It's 余裕だよ or along the line.
20) 21)
Glenn-san is correct. He uses Kansai dialect, so they are equivalent to 頼むよ/頼むぜ, 行くよ/行くぜ, respectively.