And likewise prostration, our vows, and our oaths *** And likewise the servant's repentance from disobedience (Clarifying that prostration, vows, and repentance are for Allah alone, and the answer to the hadith of 'A'ishah regarding her statement, "I repent to Allah and His Messenger")

The Shaykh :"And likewise prostration" To whom? To Allah.
"And our vows and our oaths *** And likewise the servant's repentance from disobedience"
Yes, prostration is for Allah, vows are for Allah. It is not permissible for a person to make a vow to the Prophet (peace and blessings be upon him) to fast or to pray, or to make a vow to a wali (close friend of Allah) to slaughter for him or the like of that.
"Likewise the servant's repentance from disobedience" To whom? To Allah, to Allah, not to anyone else.
If someone were to ask: What is your answer regarding the hadith of 'A'ishah (may Allah be pleased with her) when she said, "I repent to Allah and His Messenger," while you say that repentance is exclusively for Allah? We say that 'A'ishah (may Allah be pleased with her)—far be it from her to associate partners with Allah—meant that she repents to Allah in worship and to His Messenger in following him. Because the Messenger (peace and blessings be upon him) is the legislator who conveys the message from Allah. So she repents to the Messenger by following him, not by drawing near to him as one draws near to Allah (Mighty and Majestic). It is as if she is saying: I do not intend to oppose the Messenger (peace and blessings be upon him) or to contradict him; rather, I intend something that the Messenger (peace and blessings be upon him) does not dislike. Yes.