A few supplementary questions on this.
By monastics do you mean celibate priests? In Catholicism a monastic would be someone , priest or brother, who lives in a monastery.
Monastics are celibate, but they do not necessarily live in monasteries. For example, St Isaac of Syria is a desert father. He didn't live in a monastery but lived in the desert. He was a monastic of the first degree and was called to be bishop of Ninevah, which he did for about 3 months then returned to the desert (hence he is known as St Isaac of Syria as well as St Isaac of Ninevah, because he was bishop there briefly). Other examples are monastics who lived in caves (ie. Mt Athos) or in the woods (ie. the Russian St Seraphim of Sarov for one example) apart from the world.
So, no, one doesn't have to live in a monastery to be a monastic.
There are differing degrees in monasticism, for instance a novice is of course a beginner or inquirer of monasticism. Bishops are chosen from what is known as "first degree" monastic orders.
What is a Metropolitan?
He is a bishop, Metropolitan is a title. Bishop is the highest order of clergy in Orthodoxy.
For more info, check out orthodoxwiki.org, see 'bishop' and 'monasticism'.
Although Patriarchs are bishops, what authority do they have over other bishops that come under their area of jurisdiction?
Any bishops, such as Patriarchs, can call for council meetings among bishops. This doesn't mean that all bishops must attend, as a patriarch is just a bishop and is equal to any other bishop. There are bishops who are not in communion with any Patriarchs, such as my synod ROAC. The reason our bishops are not in communion with the Moscow Patriarchate is because they are not convinced that Sergianism has been completely removed from that patriarchate. The subject is addressed quite extensively on the roacusa.org site.
One of the problems with Orthodoxy in America is that Americans are so indoctrinated with Roman catholicism which includes scholasticism (as evidenced by Protestantism) that they do not understand that they do not need to be aligned with any patriarchates. There is no need to follow the papal design and ideal, as it is quite contrary to the canons of the church as well as the teachings of Christ.
There is only one head of the Church and that is our Lord Jesus Christ. And only He can forgive us sinners.