No.
Mossberg has made many .410 shotguns- usually bolt actions- but cannot recall ever seeing a muzzleloading .410. Would you like to restate your questions?
Yes
Yes try hushpower .410 12 & 20G
the Winchester 9410
i DID
Dozens of makers have made 410 shotguns over the last 100 or so years. Winchester, Remington, Ithaca, Purdey, H&H are a few.
100-300 or so
Yes. Was looking at a new Remington 870 pump .410 shotgun today, in fact.
They are the same. Mossberg 500 series includes all shotguns. 500A is 12gauge. 500E is 410.
Hunting, self protection, target shooting.
No such weapon. 410 shotguns have been made by Win, Browning, Purdey, H&H to name a few.
The winchester model 42 was a .410 pump very like the old model 12 pump