Use the rings that came with the simmons scope or just some descent rings. The ones that come with the scope are the tip-off style, but are absolutely ok for a .22 rifle. The ruger factory mount accepts these as well. The UTG stuff is typically sub-par and I would advise you to avoid.
As far as zeroing the scope, first make sure that you have assembled everything torqing evenly and all the serews are blue loc-tited and have had time to dry.
The easiest way I have found to acquire a base zero is to use a large enough target with a bullseye. Secure the gun to the bench and set your cross hairs on the bull. Fire one shot and set the cross hairs back on the bull. With the gun secured, dial your crosshairs to the hole you just shot. Repeat to confirm, and then you can begin your fine tuning by shooting groups and really dialing her in.
"Democracy is two wolves and a lamb voting on what to have for lunch. Liberty is a well-armed lamb contesting the vote." -Benjamin Franklin
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