...
Converting from UTM coords to lat, lon and height uses well established formuae like Redfearn's formula. There are online tools that allow code to be checked against trusted sources. Example code is attached. Just reiterating, the height is assumed to be height above the reference ellipsoid.
E.g. for MWA centre in UTM Map Grid Australia (MGA) zone 50:
cent_easting = 467254.490961539 # meters
cent_northing= 7046381.90073077 # meters
cent_alt = 377.8269 # meters
...