Matti (or Mathew in English) is an Assyrian first name, not last name.
No. It is an Armenian last name.
"Baba" means "dad" in Assyrian, and is not used as a name. Oshana on the other hand, is a name. It can and is used as both a first and last name. For example, the Assyrian comedian Vincent Oshana. Also, some Assyrians with the last name Oshana are even named Oshana Oshana.
Matti Aulos's birth name is Matti Vilander.
Matti Esko's birth name is Matti Eskonniemi.
Matti Ruohola's birth name is Matti Santeri Ruohola.
Matti Suokonautio's birth name is Matti Tapio Suokonautio.
Matti Tapio's birth name is Matti Tapio Johansson.
Matti Varjo's birth name is Matti Adolf Varjo.
Matti Vihola's birth name is Pentti Matti Vihola.
Matti Viironen's birth name is Matti Olavi Viironen.
Matti Rasila's birth name is Matti Tapio Rasila.
Matti Brandt's birth name is Matti Kalevi Brandt.