Does airbit help me gain my income through publishing and royalties or would I still have to register for ASCAP or BMI after I sold a beat to maximize my chances of getting any type of pay
Neither will BeatsStars nor Airbit grant you any royalties from publishing. They will only grant you re-licensing after an agreed number of sales, performances or streams the music with your beat reached. For streaming and publishing, you will have to look elsewhere (ASCAP/BMI ect).