No I would say your ok plenty of good live rock but the mandarins don't like to compete for there food so would agree to either fish them out or at very least keep a close eye out for them .. Otherwise just keep doing ammonia tests and keep dosing with some bacteria you should be ok .. But as with anything to do with nature you can never be sure ... Keep a close look
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No, they are not "ok".
Mandarins continuously eat pods throughout the entire day. They eat thousands because they have very little nutritional value. So, it's important to have a well established culture, (1 year + of adding and letting them breed in a refugium), or they will demolish the food supply in a matter of days, especially with two.
It's not that mandarins do not like to compete for their food, it's that many fish that also eat pods (wrasses, butterflies, etc.) are superior in speed to the mandarins, and they will have less food, and their survival rate will be much smaller.
Dosing with bacteria is completely unnecessary, if you did cycled the tank properly, (using the soft or hard method). Dosing bacteria will also do little good, as
many of the "Bacteria in a bottle" products are useless, or will do little good in this scenario.
My suggestion would be to return the fish, and try again when you are providing the most suitable habitat possible for the creature.
It's definitely possible, and you can do it you must just research how.