Mormonism:
Boys and men are not ordained to the Aaronic Priesthood prior to baptism. They cannot baptize without having become Priests in the Aaronic Priesthood.
There are four offices, in the Aaronic Priesthood: deacon, teacher, priest and bishop (a bishop also holds the Melchizedek Priesthood and leads a local congregation). Usually, deacons are ages 12 to 14, teachers ages 14 to 16 and priests ages 16 to 18.
Aaronic Priesthood
How many times were Joseph Smith and Oliver Cowdery ordained?
According to the account in
Joseph Smith–History 1:68, the first Latter Day Saint
baptisms occurred on May 15, 1829, when
Joseph Smith and Oliver Cowdery
baptized each other in the Susquehanna River near Harmony, Pennsylvania shortly after receiving the Aaronic priesthood from John the Baptist.
Baptism in Mormonism - Wikipedia
68 We still continued the work of translation, when, in the ensuing month (May, 1829), we on a certain day went into the woods to pray and inquire of the Lord respecting
baptism for the
remission of sins, that we found mentioned in the translation of the plates. While we were thus employed, praying and calling upon the Lord, a messenger from heaven descended in a
cloud of light, and having laid his
hands upon us, he
ordained us, saying:
69
Upon you my fellow servants, in the name of Messiah, I confer the Priesthood of Aaron, which holds the keys of the ministering of angels, and of the gospel of repentance, and of baptism by immersion for the remission of sins; and this shall never be taken again from the earth until the sons of Levi do offer again an offering unto the Lord in righteousness.
70 He said this Aaronic Priesthood had not the power of laying on hands for the gift of the Holy Ghost, but that this should be conferred on us hereafter; and he commanded us to go and be baptized, and gave us directions that I should baptize Oliver Cowdery, and that afterwards he should baptize me.
71 Accordingly we went and were baptized. I
baptized him first, and afterwards he baptized me—after which I laid my hands upon his head and ordained him to the Aaronic Priesthood, and afterwards he laid his hands on me and ordained me to the same Priesthood—for so we were
commanded.*
72 The
messenger who visited us on this occasion and conferred this Priesthood upon us, said that his name was John, the same that is called
John the Baptist in the New Testament, and that he acted under the direction of
Peter, James and John, who held the keys of the Priesthood of Melchizedek, which Priesthood, he said, would in due time be conferred on us, and that I should be called the first
Elder of the Church, and he (Oliver Cowdery) the second. It was on the fifteenth day of May, 1829, that we were ordained under the hand of this messenger, and baptized.
73 Immediately on our coming up out of the water after we had been baptized, we experienced great and glorious blessings from our Heavenly Father. No sooner had I baptized Oliver Cowdery, than the Holy Ghost fell upon him, and he stood up and
prophesied many things which should shortly come to pass. And again, so soon as I had been baptized by him, I also had the spirit of prophecy, when, standing up, I prophesied concerning the rise of this Church, and many other things connected with the Church, and this generation of the children of men. We were filled with the Holy Ghost, and rejoiced in the God of our salvation.
Joseph Smith—History 1