If you can, return the crushed coral and get fine aragonite.

Don't waste your money on purchasing live sand.. Some people claim it works, but most of the pet stores who carry it fail to realize their is an expiration date. I think its overpriced, and you are better off buying 2 or 3 bags of aragonite, and -1- or -2- lbs of live sand out of a LIVE TANK from a local reef shop. They should sell some to you if you ask..
I suppose crushing up that coral could work. One thing I have been told about corals and aragonites in saltwater tanks is you should not rinse them. Let the dust settle, as it works as added surface area for the many organisms that will live int hat sand bed. After bacteria begins to develop around the fine sand particles, they will become 'sticky' and not get blown around as much. I still would be careful of 'dead spots' developing in anything that is not a fine sand..
Cardinals are also a good choice for cycling. However, in the long run they are not very colorful or aesthetically pleasing IMO.. Fishless cycling is a great idea. I have seen alot of people just throw a raw prawn into the tank, and let it sit for 1 month. Also, Live Rock will help to cycle your tank to some degree. When the Live Rock is placed into a new tank, alot of organisms and bacteria will die off causing an ammonia spike, and then the live rock itself will eat that ammonia to re-establish the bacteria and organisms that had just died off. The combination of Live Rock and raw fish over a months period of time would be your safest bet. Some people combine that with chemicals such as Bio-Spira and Stability, as they help speed up the process to some degree..
Make sure you do research on each and every fish you buy.. That flame hawk might be cool now, but if come to find out later that he is limiting 90% of your other choices of tankmates, it will be a ***** to work around him or have to remove him..
For Filter media in the HOT, I would use just filter floss. Keep it clean, and change it regularly. Alot of people believe that you need tons of canisters and lots of Biological media on a saltwater tank.. The one thing they fail to realize is that detritus and bio-media combined with mechanical filtration just creates an explosion of nitrates over time.. While on the other hand, Live Rock will break down the waste and consume it simultaniously.
Also, when you are out purchasing your Skimmer and other goodies, take a look at investing into a few good powerheads. Current is very important in saltwater tanks, and you want to make sure you have no 'dead' zones. Detritus will build up on these areas, and can cause problems in the long run.. During your regular maintenance, use these powerheads to 'blow dust off' the live rock, to help keep it clean.. You don't want a build up of filth on your live-rock, as it will kill it. Also you want that current to be blowing accross the live rock, just like you would want current passing through your filtration media. When you clean off your live rock, you will be thankful you have that HOT polishing all the detritus it will put in the water column, and the current from the live rock will help keep it suspended so the HOT will polish the water.. The current from the powerheads will also keep organic waste suspended so the protein skimmer can produce more 'skimmate' aka green sludge.
Hope that helps!