I can't say for sure, as the vUCC hasn't actually been launched in Australia yet, but I would only be expecting one app record. That would be applied in MSL and all of the apps would receive their licences from that, the same as the current vmcd is done.
If you have 3 separate app records then it doesn't sound like vUCC, or someone has stuffed up. What does each of the three arid's show that they actually have licences for?
The other thing to note is that the installation should be done by a certified Mitel engineer from a VAR as otherwise it won't be supported by Mitel. They are getting even more strict on this now.