If you listen to YouTube guru Derral Eves he is convinced that Facebook views of your video are not recorded on YouTube. Personally I'm not convinced.
One thing is for sure, Facebook and YouTube are NOT friends. They are in hot competition for the video space. I have researched this fairly extensively and would recommend that you grow your facebook page separately from your YouTube channel. Upload your videos directly to FB and use your $30 credit to promote the videos within FB. FaceBook will NOT help you in any way to grow a channel that they consider to compete with them for watch time.
One very successful creator found that she could fool the Facebook algorithm by posting a thumbnail and putting a link to the video in a comment below. Having said that, if you have reasonable upload speeds in your area it is far better to do a direct upload - it will get far more shares.