A "sniper rifle" is simply a rifle being used for sniping. As for purpose built rifles intended for use by snipers, there aren't any. The lever action would be undesirable for a sniper, who may often have to fire from the prone position, and the tubular magazines common to lever action rifles cannot accommodate modern long range cartridges which use the spitzer bullets. Although some lever action rifles which feed from a box magazine have been made, they are very rare.
You would have to explain your criteria a little better. There are several ways in which rifles can be categorised. They can be categorised by action, e.g., muzzleloader (which can be further broken down into matchlock, flintlock, percussion cap, etc), lever action, bolt action, self loading (semi or full auto), breech block, etc.
No, they are not.
Yes
.22 to 450 Marlin
Decent quality.
Revolvers are not lever action firearms. Sorry- can you rephrase your question? Lever action firearms are most often rifles, rarely shotguns. A very few lever action pistols were made, but not revolvers.
Browning BlR
22 Magum lever action
The first lever action rifle by Winchester was the Henry rifle.It was produced from 1860-1866.
No
Not here.
Not a factory chambering