Android Studio (using SDK 19, 21 or 22) shows an error that Eclipse ADT (using SDK 19) does not:
Error:9-patch image D:\\Workspaces....\\res\\drawable
How automatically solve the issue (without checking all images in different resolutions)
Not possible. Since you want the .png to behave like a nine-patch (expand along the edges, not stretch the whole bitmap), you're going to have to format them as such ergo you have to modify the files.
Proposed alternative
Since the shape is so simple you'd be better off deleting all variants of this file (saving space, time and headache in the process) and create /res/drawable/btn_bg_common_press.xml drawable with following contents:
You can use dimen and color resources instead of hardcoded values. Additionally you might want to add the padding element inside shape
and/or wrap the shape element inside an inset element.
If you do that, the drawable will have implied padding and you won't have to set it when styling widgets. Since you have multiple state drawables for the button I suggest you convert all of them to XML to make sure the line thickness and corners match.
Despite the root element's name the actually inflates to GradientDrawable (meaning you can fill it with gradient instead of solid color). Review GradientDrawable docs for all its options. Do not ever use ShapeDrawable programmatically, it just doesn't work.
Analyzing 9-patches
Consider the three following enlarged images.

Candidate #1 is a nine-patch. It has reserved 1px on each side for stretch and padding specification. This one will behave as an ordinary bitmap when stretched. If the width will be greater than height, so will the border thickness on sides. The border will scale proportionally.
Candidate #2 is also a nine-patch and is actually saying it's going to stretch everything besides 1px border and will have implied padding of 3px on each side. It will have a nice crisp 1px border when stretched.
Candidate #3 is NOT a nine-patch. It scales the same way as #1.
Now let's take a look at enlarged version of the image you included in OP:

As you can see it's not a nine-patch, so it won't get interpreted as one and the build tools are kind enough to warn you of that. Even if older build tools were more forgiving and added transparent 1px on each side for you, the result would have behaved like an ordinary bitmap, meaning when stretched it would look like specimen A instead of expected result specimen B.

Here's more reading on nine-patches. This explains what the extra 1px on each side is used for.