It is presumed that in order to maintain her sinless status as desired by God, Mary never took the Eucharist. Such a communion with the virtuous and sinful body of Christ would have brought her into contact with sin. This happened to sinless Jesus at the last supper, when he made Eucharistic communion with the apostles, taking on their sin. This is the reason that Mary did not attend the last supper. In reality since Mary was divinized (earlier at the annunciation), she likely could not have been affected by sin within the body of Christ at the last supper, but it would have caused some sort of disunion with her divinized nature. The human nature of Jesus at the time of the last supper was perfect (like Adam), but not yet divinized. The human nature of Jesus was divinized at his resurrection.
Additionally, Mary and all those divinized are fully actualized and fully Christ, and may gain no benefit from the Eucharist. They also cannot make remediation of the sin contained in the body of Christ, (like human Jesus did), and no longer take it. Positive prayer and will is the mode of assistance for Mary and all those divinized in Heaven, who have no contact with sin.
Concerning the third point, that Mary did not suffer any effects of aging; this is just an application of the existing Marian dogma of her assumption, which states that she was free of original sin and its effects which include corruption and death. Aging is bodily corruption ending in death and would not have been suffered by Mary. She would have grown to perfection (age 33?) and retained this bodily perfection.