http://www.mangago.me/read-manga/koi_wa_kamen_no_uchigawa_ni/ - i think this is the manga you are looking for.
And these are similar, they have hero stage play actors
http://www.mangago.me/read-manga/oko_sama_star/ - similar story line
http://www.mangago.me/read-manga/oh_my_hero/ - less similar story line but one of them is a hero actor reply
did repeat a song 5 times a day
did read bad yaoi or hentai manga
