Then, permit me to attempt to reply to your Primacy concerns. I’m at a disadvantage here not knowing what you have already been told & the space restrictions of this NEW CAF.
I just noticed I missed the age concern of your children and communion. In the RCC 1st Communion usually takes place around the age of reason … earlier than that and they are only following along; NOT comprehending what it IS that they are doing.
I Can [space permitting] show you a list of 50 PETER first from the bible [IT CAN be GOOGLED] but check these out: Mt 10 1-3 [then read verses 4-8] & Mt 28:19-20], Mt 16:18-19, and John 21:10-17 ALL of which are to be taken literally.
It is notable that Jesus Choosing Peter was [dare I say “just”] following OT Tradition of Yahweh, who consistently choose 1 MAN to lead His “chosen people” Exo 6:7; which Jesus continues with Peter. “My Church” Mt 16:18
Yahweh choose Noah, Abraham, Moses, the Judges, the kings like David, the Prophets who lead to John the Baptist, who lead to Jesus who choose 12 MEN to be led by Peter, holder of THE KEY’S & His Authority Jn 17: 17-20
BUT my friend, the Pope does NOT operate in a vacuum; as the NORM, he works with, in and through the Magisterium, in union with the Cardinals and Bishops. The Pope can when circumstances call for it, ACT ALONE in teaching on Faith and Morals; but that is very rare. The Bishops too can speak infallibly when teaching on FAITH & Morals and in UNION [agreement/ non -contradictory] with Rome.
The Largest part of the Popes task is Governance of the Universal Church which serves through ROME a worldwide common community of beliefs for over one BILLION Catholics; so not unlike a worldwide corporation; there is a HIGH degree of delegation of his authority as is articulated in Canon Law: 331-359
PERSONALLY, I struggle a bit understanding this concern. … Mt 16:15-19 seems to ME, to be precisely clear.
Mt 16: & the KEY”S too was following Traditions of that time & place. It was common then for each walled-in-city which did have gates with keys, to have a KING. Who choose a Visar, whom he gave the KEYS & unlimited power of Governance of that cities day to day business ANSWERABLE ONLY to that KING. This is precisely what Jesus knew and was passing on to PETER. And this was completely understood and accepted by ALL that witnessed the transfer of POWER from Jesus to PETER and shared later Mt 18:18 with the others THROUGH Peter.
I do hope and pray this is of help to you,
God bless you & your family,