idk the Byzantines in Ct seem to be floundering

What do RGCC priests even do? Seeing as they are such a small church, and have but 3 parishes in the states, are they sent to other Byzantine churches?
There are 4 Russian Greek Catholic parishes in the US.
As to the two questions in your post:
Russian Greek Catholic presbyters serve their parishes. In the case of Father Archimandrite Alexei (Smith) in El Segundo, he also is administrator of St Paul’s Melkite Mission which shares the temple with the RGC parish of St Andrew the First-Called Apostle. Last I knew, he also heads the Ecumenical Offices of the Latin Archdiocese of LA, as well as being a Protopresbyter of the Eparchy of Newton of the Melkites.
Father Chrysostom (Frank) in Denver pastors St Elizabeth of Hungary (Latin) parish in addition to being the administrator of Ss Cyril & Methodius RGC mission, which shares use of the same temple. He is also a faculty member at an adjacent college and is involved in campus ministry.
Father Economos Roman (Russo) in NYC pastors St Michael the Archangel RGC and is involved with several other activities, including teaching.
I’m uncertain who is pastoring OL of Fatima Byzantine RGC parish in SF at the moment, but I’m certain that another member here, who is a parishioner there, can fill in those details.
Father Archimandrite Lawrence (Cross), pastor of the RGC mission in Australia is also a college faculty member.
As to your last question, ‘are they sent to other Byzantine churches?’ Are who sent to other Byzantine churches?