Uh, way beyond capacity IMO, especially for integration.
Still not clear on bird numbers and ages.
Format below would make more sense to at least me,
maybe other can decipher your description above.
x existing M birds, x months old
x existing F birds, x months old
x new M birds, x months old...
Need more info.
How many existing birds, with ages and genders??
How many new birds, with ages and genders?
How big is coop in feet by feet?
Dimensions, and pics inside and out, would help.
How did you introduce new birds 2 months ago?