Is using the name "Mustafa" in satirical messages a debasement of the Mustafa (Prophet Muhammad), peace and blessings be upon him? And what is the ruling on spreading such messages?

The names of prophets must be glorified, and it is not permissible to mock them. What is meant are the names of prophets coupled with what indicates that they are prophets, such as Muhammad, Messenger of Allah, not merely sharing the name Muhammad or Isa. It is disliked to clean oneself (perform istinja') with a hand that has a ring bearing the name of Allah or a prophet's name coupled with what specifies him.