Very interesting. Nice looking units. Couple of things though: the ending for the peltasts is -ai not -oi.

And why not render the name for the Varangians in transliterated Greek as long as you're doing it for everything else? I suppose it would be difficult to decide how to do it: Barangoi might be best, though my favorite from the Byzantine sources is the simple but descriptive pelekuphoroi barbaroi.

Will the Varangians be recruited as Mercenaries, or will you be able to recruit them through barracks? If mercs, it would be nice if you could start them as being recruitable in the Crimea only, and then have a trigger to move their recruitment zone down to Byzantium, to simulate the trips made by the Rus down to Constantinople looking for jobs.