In my opinion, your tank is not mature enough to handle your intended bioload. If you can, I would suggest you wait at least 2 months before adding any of the big Tangs and Angels. In the mean time, you should add bacteria to hasten the maturity of the filtration system. Your tank's capacity is only 85 gallon (without LR). Throw in the LR and you have alot lesser space for your fish. Big Angels and Tangs require at least 120 gallons tank to do well. Both the Blue Face and Emperor are very aggressive and territorial fish. The Majestic will not stand a chance. I strongly recommend you give this fish a miss. In fact, I would go so far to advise you to keep either the Blue Face or the Emperor but not both.
Angels and Tangs are Ick magnets. If you get them from lfs, it is almost impossible to avoid them. For this reason, it will be better if you can get them from the reefer in this forum. It may cost a little more but you are assured of a properly climatised fish. If you do not quarantine your fish, it is one more reason for you to get your fish from reefer. Not quarantining your fish is like playing russian roulette.
Many reefers decomm within 12 months of starting this hobby because of the constant dying of their life stocks. If you want to be successful in this hobby, you must have patience and reasonably deep pocket.
Lastly, welcome to this great forum. I hope to still hear from you after 12 months.