You're very welcome.
Those circuit board shielding enclosures, are typically secured in place with some screws, which when removed, should be easily removable. Occasionally they may also have interlock tabs, but when the screws are removed there should be enough play to see how how to release it and/or first, another cover has to first be removed before the one you want can is free.
Some good news, I found a service manual for your LG 32LXD1.
http://www.scribd.com/doc/50422571/lg-32lx1d-ET-service-manual
It includes a set of troubleshooting flow charts , which like I previously mentioned, begins with the power supply and then progresses through go/no-go modular swap out diagnosis of all subsystems. Additionally, there are block diagrams, exploded mechanical views, wiring diagrams, complete parts lists etc.
If you're lucky, it's the main fuse (which again is cheap, commonly available and a snap to replace).
Lastly, that particular model was prone to developing bad electrolytic capacitors (typically bulging tops and/or leaking). Typically on the power supply board, but could also be on any other board as well. These are also cheap and commonly available parts and a reasonably easy DIY replace (lots of YouTube videos on this)..
Keep us posted on your progress.