I would say yes to your question. As to list all the group names in a title would be too long. Also raises the aspect (and I’m not expert on this) that the Red Goshawk, Black-breasted Buzzard and Square-tailed Kite are probably more closely related to each other and not actually closely related to real goshawks, buzzards and kites. They are probably convergent with those groups. (And that is even ignoring for now that Americans use the word “buzzard” for new world vultures (that are closer related to storks) and use the word “hawk” for buzzards (Buteo).
The only other point is that sea-eagles are regarded as over grown kites (and thus hawks), rather that true eagles. I don’t know the exact diagnosis of why that is the case other than that true eagles have fully feathered legs and sea-eagles don’t but there probably are more technical anatomical and chemical reasons than that.
Philip