Most states say they have the "XYZ State Building Code", but it's really normally just what they called it when they adopted the NEC, IRC, and IPC. When you look at the IPC and the UPC you'll notice:
-The water distribution system would look the same.
-The drainage waste and vent system would have more piping under the UPC, and the piping would tend to be larger in diameter.
The UPC is a code that lends itself better to commercial work, so be thankful you're under the IPC. The plumbing section of the IRC is basically an abstract from the IPC. Your vents can be combined, and both the IRC and the IPC provide some detailed sample drawing on how this is to be accomplished.
"Nothing is foolproof to a sufficiently talented fool"