I can't find any specifications on the K4.
I assume it is parrallax corrected for 100-150 yards.
If this is the case then it won't be a good choice if you plan on shooting at short ranges.
Shooting small targets at half the distance that a scope is parallax set to can lead to problems.
A scope set to 100 yards can have as much as 2" of parallax error at 50 yards.
You can take a piece of graph paper and put it at 50 yards. Take a centerfire rifle scope (set to 100-150 yards) and look at the target. Move your eye (head) as far left as you can and still see the image. Make a note of where the crosshairs are then move your eye/head all the way to the right. That will show you how much parallax induced error there is.
2" at 50 yards isn't bad error for a deer hunting rifle because a deer's vitals are large. It is a problem for squirrel heads.
Realistically you wont get 2" of error because your head will be relatively close to being in the same spot, especially if you have a good fitting stock.
Marines are taught to always keep the image centered in the scope, the "black ring" will be the same width all the way around the image. If you can do this well then you shouldn't be too concerned with parallax.
I have a 10/22 and top it with a Simmons ATV 4.5-14x40mm A/O.
The adjustable objective is nice. I usually just set at the beginning of a hunting day it and forget about it. Some spots are real close in, so it gets set to 30 yards, in fields I set it to the average distance I expect to shoot at.
If you can get a rimfire scope (set to 50-75 yards parallax) or one with an adjustable objective then it would be a better choice.
The K4 would work fine for plinking, but since you haven't bought it yet you should look at different options.
Bushnell makes some scopes in their Banner, Legend, and Trophy lines that have AOs. I think they are pretty good scopes at pretty good prices.