The Deacon always is given a Host before the Priest receives Holy Communion, and consumes it at the same time as the priest.
From the GIRM
- After the priest’s Communion, the deacon receives Communion under both kinds from the priest himself and then assists the priest in distributing Communion to the people. If Communion is given under both kinds, the deacon himself administers the chalice to the communicants; and, when the distribution is completed, he immediately and reverently consumes at the altar all of the Blood of Christ that remains, assisted if necessary by other deacons and priests.
In our parish the Deacon receives Communion after the Priest, and while he is doing that the EMHcs approach the altar.
No. It is wrong. Deacons or Lay persons cannot self-communicate.