There have been many Joint Statements between the Oriental Orthodox Churches and the Roman Church. A month or so back there was a book fo these released, it can be read online here: Joint Statements between the Catholic and Oriental Orthodox Churches
The BOC works within this framework as part of the family of oriental Orthodox Churches, therefore these statements apply to us as well as the rest of these.
As for your comments on communion and Marriage,
1) Orthodoxy has always practiced closed communion. As St Justin martyr said "We call this food Eucharist, and no one else is permitted to partake of it, except one who believes our teaching to be true and who has been washed in the washing which is for the remission of sins and for regeneration and is thereby living as Christ enjoined.
" To practice open communion with Rome would be against the Orthodox Canons. In the end we are Orthodoxy, not some half-styles community which changes our ancient faith to make things easier based on the location. This was covered by Abba Seraphim in an article in Issue 97 of the Glastonbury Review. It is found here: Why Orthodox don’t practice Open Communion
Attending a Catholic Mass is OK in general (I am obliged to do this as part of working at a Catholic School and know many people in the Church with Roman Spouses do also) but communion is closed in Orthodoxy.
2) As for your second point on dating, I can only presume you mean to go on to marriage. This has the same problem as Communion, we quite simply do not practice open Sacraments. I know that the BOC is in this unique situation of being a very small community but this is no reason to 'lighten the load' given to us through our faith. As an unmarried member of the Church myself I admit that such a small community does make the concept of finding a wife far more diffiicult but can only suggest that we trust in God to provide either an Orthodox partner or one willing to put her faith in God's Church.
I hope these help.
"The true Christian is a warrior making his way through the regiments of the invisible enemy to his heavenly homeland." - St Herman of Alaska.