If lesbian or gay couple wanted their child baptised, would they be treated the same as a straight couple would be by their parish?
They would probably be treated in the same way as any other unmarried couple seeking Baptism. There is a higher level of scrutiny since the priest needs to make sure the child will be raised in the faith.
Would both their names be listed on the baptismal records as the child’s parents?
Of course not. A Baptismal certificate lists mother, father and sponsors.
Would they be invited to enroll their child at the parish school and other parish activities for kids?
I don’t see why not.
If a married gay or lesbian individual wanted to convert, would their marital status be recognized by those involved in RCIA at the parish and diocesan levels?
No, a same sex “marriage” cannot be recognized in any way by the parish or the diocese. They would be welcomed in RCIA in the same way that a couple with remarriage without an annulment would. They are welcome to study and discern but not able to be received into the Church until they have regularized their relationship situation. It’s not about being in a same-sex relationship. It’s about not being in a valid marriage.
Would they feel as welcomed in participating in the sacraments as a married straight person by their priest or the EMHC?
If they are publicly living together as a couple, no, they would not be properly disposed to receive Communion. I doubt any priest would turn them away at the Communion rail/line but they would be committing sacrilege if they presented themselves for Communion.
How welcomed would a married gay/lesbian couple be be if they expressed an interest in becoming involved in parish life? Would they be able to teach 1st communion and confirmation classes if properly qualified?
In most diocese, including my own, a person who is not a Catholic in good standing cannot be a CCE teacher. That would include someone in a same sex “marriage”, in a cohabitating relationship or someone remarried without an annulment.
Would they be welcomed at parish social funtions as a married couple?
That would depend on the function. A parish picnic, sure. A dinner dance for married couples, probably not.
If the parish sponsored a trip, would they be able to travel as a married couple and be accommodated as a married couple vis-a-vis sleeping arrangements?
When our parish has trips, the individuals make their own room arrangements through the travel agency. I don’t see why it would be any different that two friends who wanted to share a room on a trip.
Would the surviving spouse be able to get a Catholic funeral for their deceased loved one?
The funeral is not for the surviving spouse, it is for the deceased. Yes, the Church will have a funeral for any deceased Catholic.
Would a gay or lesbian married couple be afforded side-by-side spots in a Catholic cemetary like a married straight couple?
I don’t see why not. Lot of people are buried side-by-side, not just married couples.
Could they get a headstone that reflected their marriage and their children?
Maybe.
If an openly gay, lesbian, or trans teenage parishioner expressed an interest in attending World Youth Day, would they be afforded the same fundraising and sponsorship opportunities as their straight or cisgender counterparts?
I don’t see why not. They certainly wouldn’t be excluded from fundraising but parishioners tend to sponsor those youth who they feel are good representatives of the parish. Depending on how being “openly gay, lesbian or trans” was being acted out in parish life, they may or may not be seen as good representatives.
People who act out publicly in disregard to Church teaching and who violate the terms of their contracts tend to get fired from Catholic schools.