RE: Optics for a Rimfire
The Nikon Rimfire 4x scope is an excellent scope for the money. I have one on an airgun. Leupold also has a nice Rimfire scope in 2-7x28mm and Fixed 4x28mm for around $200, with a 60 yard parallax and fine duplex crosshairs.
For my Winchester 52, I took a Leupold 2-7x33mm VX-1 scope and had the parallax changed to 50 yards. I think it cost me around $20 for Leupold to do it. This was cheaper than buying a new scope, and it balances great on that rifle.