His was refused entrance to the club because he wasn't a member.
He declined an invitation to become a member at that golf course.
His application to the university was rejected because it was incomplete.
to refuse は、受け入れを断る時に使います。
ーHis was refused entrance to the club because he wasn't a member.
「彼は会員ではなかったので、クラブへ入ることを断られた」
to decline は、、申し出や招待を丁寧に断る時に使います。
ーHe declined an invitation to become a member at that golf course.
「彼はそのゴルフクラブの会員になる招待を断った」
to reject は、要求や訴えを断る時に使います。
ーHis application to the university was rejected because it was incomplete.
「彼の大学の出願は、(出願書の)不十分だったので断られた」
ご参考まで!