Be careful prying it, you might damage the edge of the hole. Extract the radio by normal means, then push the SID out from behind. Once in your hand it will be obvious how to disassemble. I don't have any to look at right now but from memory a couple of small black screws, release a clip to take a flat panel with a dome on it off the outer casing, release a couple more spring clips etc. Its straightforward, as will be releasing the display from its casing.
The DIY repairs are 1) run a the tip of a hot iron (the clothes-flattening type, or a soldering iron with a wide head) along the joint of the ribbon connector, to hopefully re-seal the multiple contacts, or (2) reassemble the unit with foam strip or similar, to apply constant pressure to said ribbon contact strip. (3) Buy a new ribbon. remove the old, clean the contacts, stick the new one on. (4) unless you can find a used SID with photos proving its all working, it probably isn't. If I sell them on eBay I always include pics.
(2) worked for me in a 9-3 after a couple of attempts, and (1) is about 95% successful with 9-5 SIDs in my experience (probably done nearly a dozen, with the clothes iron. I would worry about getting the soldering iron too hot and causing damage).
