My conclusion from these bible verses:
The most important features of Christian communion is honoring the memory of Jesus' sacrifice, and to love one another. Not one is to be considered over the other and the greatest amongst us are those who serve the best.
The form of partaking is secondary, and there are many variations in the early church. In some cases entire feasts were prepared (including that fateful night). The early church met daily or weekly in prayer and the "breaking of bread". Again, the regular sharing of bread and prayer ties the community together and reminds them first Jesus' sacrifice, and second of their love for one another. Eating together makes us one.