"but is it a french or scottish unit?"
It's a french unit composed of scotsmen. The two were frequent allies against the English, so I wouldn't be surprised (or disappointed) if this unit was one that could be raised in france, not just scotland, representing emigrating/mercenary scotsmen come over to france to help fight the english.
The reason we don't see more armored bowmen is the same reason we don't see more armored melee troops - cost. The presence of unarmored melee troops does not show that armor is incompataible with melee anymore than the presence of unarmored missile troops shows armor is incompatible with archery.
Any armor that wouldn't let a bowman draw a bow would almost certainly be so cumbersome as to be instant death for anyone unfortunate enough to be caught in a melee with it (where the required range of motions is far greater).
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