Yes this feeds directly to the display. Behind the plastic front (inbetween the two front grills) you'll find the other end, with a connector attached. If you can find the original LCD display's, you can connect them directly to that connector and mount them behind the translucent front. Plug the bottom connector directly in a powerlink and the display's will work. No soldering or external AC required!
Regarding the rubber surrounds:
It is very easy to do, providing you take your time and don't rush the job. The visually most appealing way of mounting the surrounds, is behind the speakercone. Mounting them on top of the cone is easier, but does not look as proffesional. Soundwise there is no difference between the two ways of mounting the surround.
Example 1: Here the inner edge of the surround is mounted on top of the speakercone:

Example 2: Here the inner edge of the surround is mounted on the back of the speakercone:

Mounting the inner edge of the surround is a bit harder to do, but absolutly not impossible. I would advise you to use waterproof woodglue. This takes a bit loner to dry, so it gives you some time to adjust and if necessary refit the surround. As the glue dries, it becomes transparant, so if you spoiled some, or used to much, it is hardly visible.
Succes with your project!