Safe to screw on a paper towel holder way above socket?
If you are concerned about the presence of wiring near where you are installing this, grab yourself a stud finder with "live wire" detection from your local hardware store. Entry level models are inexpensive. This way, you can find the studs and the wires. More expensive models may also detect other services (e.g. metal plumbing or gas pipes).

If you are just going to attach the holder with screws, or with the skinny little excuse for anchors usually included with these sort of things, you run the risk of the holder coming out of the wall over time, because at least one of those two mounting holes probably won't line up with a stud (unless you've got some super wide studs).

Grab yourself some drywall anchors or spring toggle devices to get a better hold on the wall. The former looks like a big plastic screw, with room for another screw in the middle, and a flat tip. This is is shown in the first picture below. These bite in to the drywall and get a firm grip, providing you with a rigid hole to screw in to.

The latter (spring toggle, second picture) consists of a screw with spring loaded wings that spring apart after you push them through a wall. Naming may be different in the US, but I would expect they would still be readily available. The objective here is to distribute the load of the holder (and anybody pulling on it) over a greater area to avoid ruining your wall.

Be somewhat wary of the drywall anchors though if you ever want to remove the holder, as they do tend to make a mess when they come out.