I didn't watch the entire film, but I just listened to the song "Shallow" from A Star Is Born. Beautiful song. No wonder it won the Oscar. Lady Gaga, Mark Ronson, Anthony Rossomando, Andrew Wyatt - all won the Oscar but not Bradley Cooper. So the award goes only to the song writers/song composers and not for the performers?
Also, who composed music for this film? In IMDB, normally they will be credited under 'Music by' category and I don't see that category for this film. https://www.imdb.com/title/tt1517451/fullcredits?ref_=ttawd_ql_dt_1
Does that mean several contributed to the score (or) music taken from many sources?