On original or inherited sin, t’s a difference in “guilt”. The disease model is used in the West as well as the East. Both West and East teach Hell as a state rather than a “place”.
I’ll let Kosta address your Purgatory=Hell, if he wishes.
Regardless, we are one church.
Hmmm...that's not what NewAdvent teaches.
Also the Fathers, from the very earliest times, are unanimous in teaching that the wicked will be punished after death. And in proof of their doctrine they appeal both to Scripture and to reason (cf. Ignatius, "Ad Eph.", v, 16; "Martyrium s. Polycarpi", ii, n, 3; xi, n.2; Justin, "Apol.", II, n. 8 in P.G., VI, 458; Athenagoras, "De resurr. mort.", c. xix, in P.G., VI, 1011; Irenaeus, "Adv. haer.", V, xxvii, n. 2 in P.G. VII, 1196; Tertullian, "Adv. Marc.", I, c. xxvi, in P.L., IV, 277). For citations from this patristic teaching see Atzberger, "Gesh. der christl. Eschatologie innerhalb der vornicanischen Zeit" (Freiburg, 1896); Petavius, "De Angelis", III, iv sqq.
The Church professes her faith in the Athanasian Creed: "They that have done good shall go into life everlasting, and they that have done evil into everlasting fire" (Denzinger, "Enchiridion", 10th ed., 1908, n.40). The Church has repeatedly defined this truth, e.g. in the profession of faith made in the Second Council of Lyons (Denx., n. 464) and in the Decree of Union in the Council of Florence (Denz., N. 693): "the souls of those who depart in mortal sin, or only in original sin, go down immediately into hell, to be visited, however, with unequal punishments" (poenis disparibus). New Advent-Hell