The brightest “star” over Queenstown tonight is not a star at all: it's Jupiter, low in the sky in the north-east before dawn. You can also see Venus, Mars and Saturn. It's dark enough for stars from about 9:21 pm.
Rises into view in the east around 4:56 am and stays until dawn washes it out. Best at 5:16 am: very low, just above the horizon in the east, one fist above the horizon. It stays low, so you need an open view with no buildings or trees in the way.
Rises into view in the north-east around 3:06 am and stays until dawn washes it out. Best at 4:51 am: low in the sky in the north-east, 2 fists above the horizon.
Look north-east as the sky darkens. Visible until 3:56 am. Best at 10:36 pm: about halfway up in the north, 5 fists above the horizon.
Rises into view in the north-east around 3:16 am and stays until dawn washes it out. Best at 4:16 am: low in the sky in the north-east, 2 fists above the horizon.
Rises into view in the north-east around 11:11 pm and stays until dawn washes it out. Best at 2:06 am: about a third of the way up in the north, 3 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Look north as the sky darkens. Visible until 2:46 am. Best at 10:11 pm: about halfway up in the north, 5 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Too close to the Sun to see right now. It is lost in the glare, 12° from the Sun.
Where to find them at 10:01 pm, once the sky is dark.
It's most likely the planet Jupiter. It is low in the sky in the north-east and visible from 3:06 am until dawn. Planets shine with a steady light, while stars twinkle.
Venus (from 4:56 am until dawn), Mars (from 3:16 am until dawn), Jupiter (from 3:06 am until dawn) and Saturn (after sunset until 3:56 am). With binoculars or a telescope you can also find Uranus and Neptune.
The Sun sets at 8:11 pm. The brighter stars and planets come out by 8:42 pm, and the sky is properly dark from about 9:21 pm. Full astronomical darkness begins at 10:04 pm.
The Moon is a Waxing Crescent, 2% illuminated. Moonrise is at 6:24 am and moonset at 9:30 pm.
Calculated for Tuesday 10 November at 42.08°S, 145.55°E. Times are local to Queenstown.