Well let’s take Purgatory first.
I will note that you could likely find dozens, if not hundreds, of threads here on any one of the subjects you mentioned thus far.
Most simply put, Eastern Christians (Catholic and Orthodox) focus on Theosis, a process which begins with our baptism and continues even after physical death, in which we strive to become more like God, as we were originally created. Easterners do believe that purification continues after physical death, yet we tend not to focus on Purgatory as a place, but rather a continuation of this process. Theosis is also somewhat more forward focused, if you will, as it tends to emphasize what remains to be done to become more God-like as opposed to a need for additional atonement for past offenses. We continue to seek the graces necessary to realize the fullness of our original nature, created in the image and likeness of God…