The Leapers UTG 3-12x44mm Compact Rifle Scope is a variable power scope. So you cannot co-witness the scope and iron sights.
The Leapers UTG 3-12x44mm Compact Rifle Scope can be mounted on an AR10. The manufacturer states that the Leapers UTG 3-12x44mm Compact Rifle Scope is constructed to handle heavy recoil but does not specifically state a recoil limit. From what information I could find it can handle the recoil of an AR10 just fine.
The Leapers UTG 3-12x44mm Compact Rifle Scope is shockproof, however, Leapers does not provide specific information regarding the scopes recoil rating. I'd recommend reaching out to them directly for more information.
You would need to zero the riflescope once mounted on your particular firearm. Instructions are included with the scope.
No they are not etched.
Yes, this scope does picatinny rings.
They are calling them medium profile, which are 15mm from the top of the rail to the bottom of the tube.
Yes, this will work with your application.
Warranty information can be found here:
https://www.leapers.com/index.php?act=warranty&midx=744&allids=744&svroot=
It can be used for anything you'd like. There are shooters who make shots at 600 yards with just peep sights, so it is up to the shooter and the quality of their equipment.