icic, but some royalty music i bought, they comes with public performance license (more expensive of course), but not for TV or Radio commercial broadcast.
To RIPS & MPS, Is it legal in the case?
Difficult to answer your question because there are 2 convoluted pts in your question.
1) Currently in SG, public performance licence only comes under COMPASS's purview. COMPASS only represents the rights for composers and lyricists who registered with them (i.e. collect broadcast rights payment only for composers and lyricists). RIPS on the hand, represents the rights for music publishers (i.e. recording companies like Sony Music, Warner Music, etc), and currently they do no have public performance licensing (i.e. collect broadcast rights payment for music publishers) in SG. But that does not mean they will not have that in the future. Hence to your question on public performance licence, RIPS and MPS is not relevant.
So we are now talking only about COMPASS...
2)COMPASS will want to collect public performance payment for broadcast of any songs that are created by their registered composers and lyricists - regardless whether you bought the music with a public performance licence or not. You can try to argue/reason with COMPASS. My sensing is that they won't budge. But if you get the composer/lyricist to contact COMPASS, something favorable may come out of it. But I don't think it is worth the effort.
To get a better picture, supposed Dick Lee is your childhood friend and you'll like to play a song of which he is both the composer and lyricist, and Dick Lee has given you the permission to play the song at your dinner. COMPASS will still want you to pay the public performance licence if Dick Lee is registered with COMPASS... I dunno how much your childhood friend will get. But I do know that the employees and bosses at COMPASS need to draw a salary every month.
Anyway, music copyright is geographical. I.e. whatever music rights you buy (be it synchro rights, mech reproduction rights or broadcast rights) from an overseas-registered company off the internet will not be valid in SG if the music publisher, composer and/or lyricists of your royalty music are registered with RIP, MPS and/or COMPASS.
Double payment then? Sad to say...Yes.