My suggestion would be to not get the mandarin yet until you have had another year under your belt. So many have tried so many have failed at that beautiful fish. As stated they are normally very picky eaters, going after pods. Not only about 100 pounds of live rock is suggested but also an active refugium with thriving pods or a pod tank that you can suppliment the pods in your main tank.
Last time I had one was in my 55 that had tons of pods in it after 6 months or so he had just about wiped them all out. It as a downhill slide after that. No longer did I see them all over the tank like I used to (the pods). This is what happens to so many mandarins, eat good for a while and then slow starvation. Some are lucky and they learn to eat the frozen brine or mysis shrimp but those are few and far between.
There are many posts/threads about that fish if you would like to look up more information on this board.
You will probably hear that tangs are very active swimmers that prefer 5 foot long tanks to swim in and are more prone to ick than many fish are. If you do get one then my only suggestion is that having a QT tank is even more of a necessity than normal. ( a QT is always a great idea)
If starting a reef then I might suggest the purchase of baserock for a start then adding some live rock to that. This way you can save money and still wind up with a beautiful reef over time.
Your list of fish minus the mandarin seems like it would be a fine bio load. Remember when keeping a reef a low bio load of fish is recommended for the overall health of the system, the more you strain that bio load the more juggling you have to do with fish and corals.
This is a great board to be a member of, like many boards we have our ups and downs, but the members here all learn from each other, have great experiences to share, neat ideas and some fantastic reef tanks.
Welcome to the board
Thomas