Okay here's the translated text in order to the best of my ability... Some of the text was impossible to translate directly, so some idioms are in English!!
アイラブユー 革ジャンの天使から愛を込めて
"I love you. - From the Angel in the Leather Jacket with love."
馬子にも衣装 ニートにもフォーマル ってな
"The clothes make the man. Formal clothing makes the NEET, haha."
NOTE: "馬子にも衣装 (Even a stable boy looks good in fine clothes)" is an idiom that basically means "No matter the person's social status, anyone can look good in the right clothes."
パーカーがオレに語りかけるんだ 「兄弟と戦え」と
え? そんなパーカーない? 呪われてる? お祓いした方がいいの?
"My hoodie keeps whispering sweet nothings in my ear, like, 'Go fight your brothers.' ...What? You're saying that's not normal? My hoodie is haunted? Should I get an exorcism?"
かけがえのない 日常こそ オレにとって …… …… かけがえのない 日常なのさ
"For me, these precious moments in my everyday life are............ truly, the precious moments in my everyday life."
NOTE: This is likely a reference to Japanese politician Shinjiro Koizumi and the weird, redundant way he speaks
ジャージは いいぜ よくしなる
"I love jerseys. They allow for a wide range of motions."
バスローブって 案外暖かいんだ 褒めてやるぜ 裏起毛
"Did you know that bathrobes are actually quite warm? Well played, wool lining."
恋も酒も 溺れてからが 本番だぜ
"Love and alcohol are quite similar. The real fun begins when you're drowned in it."
この姿 夏かしいだろ
"Isn't this a familiar sight?"
NOTE: Sorry, I couldn't translate this properly... this is a pun on "懐かしい (natsukashii, nostalgic)" and "夏 (natsu, summer)." Cuz. Yk. Summer Kamen.
あの頃は シェー春だった
"Those were the good old days."
NOTE: Sorry, again... This is a pun on 青春 (seishun, adolescence, the springtime of life) and シェー (shee).
一緒に ディナーでもどう? できれば君の奢りで
"How about dinner with me? With your money, of course."
覚悟しておけよ オレの伝説は 来世も続くぜ
"I hope you're ready. The Legend of Karamatsu won't end in this lifetime."
それじゃ 今晩… 君の夢で★
"Well then, I'll see you tonight... In your dreams ★
Okay that's the end!! I hope this was educational !! (it wasn't)