That's absolutely fine. it doesn't matter what computer they were edited on.
Please compare those prints to your new screen, and tell me how they look.
I forgot to say, these are great. Not dark or green at all. (Well, the backgrounds in the first two are dark because of your heavy vignette, but the people are perfect).
There is no reason for these files to print badly.
Yes, always Photoshop. Or Bridge.
No, what you "think" is completely irrelevant. The screen should match the prints in your hand, period. Even if the prints are terrible, the screen should be exactly the same shade of terrible.
Great. So choose the Crop Tool, and in the Options Bar, make sure it's set to "WxHxResolution" (I think that's what the setting is called.
Then enter "960px" in the Width field (make sure you include the "px" or you'll crop it to 960 inches or something!). Leave the Height and Resolution fields blank.
Then crop.