Copy writing your podcast isn’t that important. It is far more important to think about Trademarks when your podcast brand becomes valuable to make sure no one can copy you and gain from your brand.
Technically you can try to add other people’s TikTok videos to your YouTube channel and try to earn money. Over time the aim of the YouTube system is to give those royalties to the correct copyrights holders, so they would need to add their music to YouTube Content ID to claim those royalties.
Producers can receive some music publishing royalties if that is what is negotiated in the publishing agreement. Sometimes high end producers will insist on taking a percentage of the tracks that they produce.