Son of Francisco Suárez de Ibarra and Isabel Pimentel

I’m trying to find out if Alferez Real Francisco Suárez y de Ibarra’s and Isabel Pimentel’s son, Miguel, born in 1631, married in 1656 to a woman named Agustina de Zúñiga y Mendoza.
Here is the baptism certificate of Miguel, Francisco Suárez de Ibarra’s son, and the marriage certificate of Miguel and Agustina, which does not mention the name of the parents. I would like to know if they are the same person. Does anybody have any reference or source? Thank you