no. 1 is not true.....when you figure your nutrient levels and coral\fish consumption, you will know better.
no. 2 is mostly true..... i believe entirely in distilled water, but YES, KNOW what is actually in tap and bottled water.
Using dead rock is to keep an environment without unwanted pests and sickness by never allowing them in in the first place. If you intend on QTing every animal you buy and never allowing other water to enter your system , then dead rock is the way to go, as it is an effort to control what is introduced to the environemnt. IF you are not going to qt EVERY animal and may be less scrutinous of others' water, then buy cured live rock and let the cards fall where they may....there have been countless successes this way as well with dead rock.
add LIVE rock whenever you want....every time you buy a coral on a rock, that is adding LR.... Shipped live rock WILL have a cycle and should be cycled separate from the system. Storebought live rock will have a very minimal cycle if any at all. 2x i have started tanks with LR, LS, CUC, and Fish all bought with the tank (both were under 30g, only 1 was actually my tank), and on both occasions there was no cycle at all, and the first fish i ever bought lived for 5 years in that tank til it saw a tasty morsel on the carpet.
Welcome to Reef Central....you are going to find a lot of contradictory answers here. Research first, and take things slowly....you always have 5 min to google something before you buy it, livestock and equipment alike. Nothing good happens instantly in our aquariums.