Umm... how long has your tank been cycling?? is it fullt cycled?? what are your test readings? Unfortunately, I have a feeling you might lose your clowns down the road, even if you add the LR. Live Rock, even if it is "cured" when you put it in your tank will go through a "die off" period( hopefully very small if fully cured) and your tank will begin a whole new cycle. You will need to stay on top of water changes, maybe 30% every 3 days or so until the cycle has finished. This(depending on the rock) could take a week if you are extremely lucky, or up to a month to fully cycle everything to where it needs to be. The dead coral that is in there, while visually pleasing right now, should probably be removed when you add the rock, and added when the cycling is finished( one less thing for algae to grow on). Yes LR is vital to the health of a SW system, it is a shame that your LFS didn't guide you properly, though 9 times out of 10 they rarely do...lol. Good luck with everything, and read as much as you can on sw systems, it is a great hobby, and very rewarding!!
oh, if your LFS has an established reef tank, ask to buy some of the rock out of that tank, it is most likely the best in the store, and who knows what kind of fun little hitch hikers you may get!!