I believe I've got it, I have to create an executable JAR file and run it on another computer to truly see if it works, but basically those links didn't really help. Though you said "getResource()". So Googled it for SWT, surely enough found it.
Image image = new Image(display, <ClassName>.class.getResourceAsStream("bg.png"));
And what I did is dragged and dropped the images I wanted inside of the PACKAGE folder where my Java class is. So I'm guessing if I create an executable JAR file, it will carry those images as well. So awesome, if it works, thanks.
EDIT: Sorry double post