Defintely put the LR and LS in now. That actually helps with the cycle. As a matter of fact, if you did put it in later, and the LR wasn't fully cured, it would start another cycle.
For invert crew, you can get hermit crabs, emarald crabs, sally lightfoot, variety of snails (turbo's, narcarrius, etc.), cleaner shrimp, peppermint shrimp, urchins, etc. Do some research on what type of fish you want to add. Some aggressive fish (wrasee, puffers, etc.) will pick and eat certain inverts you have in your tank. Don't look at starfish right now. Your tank needs to be mature and stable before adding any starfish species. Also be leary of the small lobsters. They like to grab and eat your other small inverts. Let the tank fully cycle, then you can start adding the inverts.
In a new tank, there's really no necessity to QT inverts. Not many diseases they can catch. Just acclimate them as called out by the recommendations of where you buy them, and drop them directly into your DT. If you setup a QT tank, put any new fish in there for a minimum of 3 weeks for observation. If you notice any diseases, you can treat them at that time.
Give your tank about a month and a half before adding a fish. It should cycle by then, and then you can add a good hardy starter fish (chromis, Royal Gramma, Clown, etc.). Try staying away from the damsels. They're pretty and small, but can be very aggressive and a pain to get out of your tank if you decide you don't want them there.
