Please note, jAlbum does not color manage the images, it simply uses the image as if it was sRGB (the web standard). So if you save them into any other space it's unpredictable what the visitors will see. Some browser try to color manage the image (e.g. Chrome) others simply ignore it and display the image as if it was sRGB.
So if you want consistent result for all visitors, save (convert) the image in sRGB color space.
Now even though the image says it's in sRGB mode it's packed with color transformations. (Check out with right-click -> "List metadata" in jAlbum!) You probably have started using some kind of monitor calibration hardware. That's a problem because the calibration is valid only for your monitor, and once the image is displayed on any other device it can't be reproduced. Monitor calibration is good for prepress (Desktop publishing), but in web design it can create a big mess. Perhaps you can tell someway the software that you want to produce a neutral, not color managed, sRGB image during the export, but I don't know how this can be achieved on this particular software.
I opened both of them in Picasa Viewer, in Chrome, and in Firefox. Makes no difference. The red, for example, is of equal intensity. The images aren't the same size, which makes comparison a bit more difficult, but close enough.
But to repeat what Laza has said, jAlbum doesn't do any color management. So it's a bit of a mystery what you're seeing, or at least what you think you're seeing.
The problem is obviously with "Windows Photo Viewer". With "Photos" from Windows, the photos are displayed on the desktop with sRGB, as with jAlbum. SRGB does not seem to work with "Windows Photo Viewer".
The photos contain custom color model information. Those applications that can handle it show it in normal color, all the others show oversaturated colors. You didn't mention if you are using some kind of hardware calibration, which I believe is the culprit.
I did not calibrate the hardware.
The colors are displayed in jAlbum, "Photos" (Windows) and Picasa. Only the "Windows Photo Viewer" shows the photos with less saturation.
It is also strange (has nothing to do with jAlbum) that the saturation in Lightroom Classic is not displayed as it is displayed with the above 3 programs. The "red" is also drawn more into the orange.
You know JAlbum and the skins better than me that's for sure, I am only a simple user.
I have also seen a small difference with the colors into JAlbum on a MAC. This was due to the "Sharpen" set into the JAlbum "Images" settings and not a setting of a skin. It change only the sharpen but this may affect a little bit the color.
When I import the attached image into Lightroom Classic I see the exact same colors as the screenshot.
Looking into the metadata with Photoshop (File -> File info) I see tons of information regarding all the corrections you made with Lightroom and even the retouch moves. That has tricked me into thinking the color corrections done on the image are some color space info.
At this point I have no idea what's happening on your PC, but it's not the skin, nor jAlbum is the culprit. I saved the image after all these convoluted metadata stripped. You might want to try how this looks in your applications. Probably it will look the same in plain (non color managing applications), but I have no idea what will happen in Lightroom or Windows Photo Viewer.
In the meantime I contacted a photo specialist forum and reported on my problem there. Here it came up that the old "Windows photo display" still supports color management and that the "Photos" display of Windows 10 and Picasa do not support color management and therefore the colors are displayed differently. How can it be that Picasa displays the same colors as jAlbum? Normally, jAlbum should also support the color management display, or am I wrong?
I checked my photos once, they all have the sRGB color space after export.