가지고 after -(으)ㄴ 거 means "over, about," and in every line here the speaker is objecting that someone is making a fuss over something trivial: [더 자극] 못생긴 거 가지고 왜 삐져, 핸드폰 잃어버린 거가지고 왜 그러냐, 잠깐 게임한 거 가지고 엘보가 와. The point is always the mismatch between the small cause and the big reaction — 간만에 남매끼리 드라이브 좀 한 거 가지고 납치니 뭐니. All casual, often mid-argument.