Are these fish compatible
The angelfish is not safe with corals or invertebrates; it will nip at them.
http://www.saltcorner.com/sections/zoo/a...
Read the top, the Centropyge info, and the specific info on the Coral Beauty.
Your tangs and the angelfish are all algae eaters, so you'd need a huge tank or lots of supplemental feeding.
All 3 are also sensitive and very susceptible to ich.
The dottyback is highly aggressive. Too aggressive for the wrasse and the goby. They need to be housed with peaceful fish. It also may eat featherdusters and small shrimp.
Your jawfish will need a very deep substrate, and may be picked on by the dottyback. You'll want to research the requirements of a deep sand bed.
Your wrasse is likely to eat featherdusters.
(I love featherdusters. They are an inexpensive, easy to keep, beautiful addition to a tank)
I'd forget the tangs, angelfish, and dottyback and go with a much smaller tank.
Please do some research. I used Salt Corner, Marine Depot, and Yahoo search to get the info I have provided for you. Took me all of 10 minutes.
If you've never done salt water before (and it appears that's the case), I advise tons of lurking and reading at Reef Keepers, NanoReef, and other saltwater forums, and getting a good book on Marine Aquariums and reading it cover to cover before you spend a PENNY.
For stocking (once you have a good grasp on what a marine tank will require of you), this is a great article-
http://www.nano-reef.com/forums/index.ph...
That's quite a collection of fish and your tank must be enormous. Here is a good website that offers a compatability chart for you to find out what fish works with other fish and have this info for future reference.