My best shot at translations:
Sancta Maria, Mater Dei, ora pro eo.
Saint (Holy) Mary, Mother of God, pray for us.
Omnus Sancte Angeli, orate pro eo
All the Holy Angels, pray for us.
Omnes Sancti Patriarchæ et Prophetæ, orate pro eo
All the Holy Fathers (Patriarchs [of Israel]) and Prophets, pray for us
Omnes Sancti Pontifices Romani
All the Roman Bridge-builders (Popes)
Ioseph=Joseph
Ioannes Baptiste = John the Baptist
Matthae=Mathew
Mattia=Matthias
Luca=Luke
Marce=Mark
Leo Magne=Pope St. Leo the Great
Gregory Magne=Pope St. Gregory the Great
Carole = Charles
The new one:
Sancta Maria Faustina Kowalska
Saint Faustina, a Polish nun whom John Paul canonized, and who pressed the Church to recognize the Sunday after Easter as Divine Mercy Sunday. The Pope died during the vigil of this Feast Day
Prayer:
God, reward with life your faithful servant and priest, our father John Paul II, whom [through?] Peter [you?] established as successor and your church’s shepherd, your grace and compassion your confident worship dispense on Earth [I’m having trouble with that syntax] may remain your eternal delight in Heaven. Through Christ, our Lord. Let it be.
(Sorry, I learned Latin through hymns and biology. I never studied grammar.)
I'm not a Latin scholar either, but "ora pro eo" is pray for him. If it weren't in the context of a funeral I believe the common ora pro nobis (pray for us) is the propoer response.
"Pro Eo" is "for him."