Does the HP h320n work with consoles or phones?

It is listed for PC and connects through a 3.5 mm audio jack. Any device with a matching headphone and mic jack can use it, but surround sound and the inline remote are aimed at PC use.

Is the surround sound real 7.1?

No. It is simulated surround sound from two 50 mm drivers, not a multi-driver 7.1 setup. It adds width to game audio but is not as precise as true positional headsets.

Does the microphone cancel background noise?

Yes, HP lists a noise-cancelling microphone. It reduces steady background noise, though it is not a studio-grade filter.

Is it wireless or Bluetooth?

No. The h320n is wired only, using a 3.5 mm plug and a 2.1 m cable with an inline remote.

Can I use it for music and calls as well as games?

Yes. The closed over-ear design and boom mic work for music, video and voice calls, though the tuning leans toward games.

What comes in the box?

Expect the headset with its attached 3.5 mm cable and inline remote. Check the listing for any splitter or adapter if your PC has separate headphone and mic jacks.