A:AnswerYes it will. I do zoom meetings often and use this without any problems and change the backgrounds often even on the same zoom call, no problems.
A:AnswerHi. No the HP Spectre x360 model 13-aw0003dx does not support 4G LTE or any mobile broadband.
Here is a link to the specs for this laptop:
https://support.hp.com/us-en/document/c06620360
A:AnswerYes, you'll be able to play quite a few games with this laptop. Unfortunately "what games can it play" would be a huge list, but if you ask about a specific game or games, we'll be able to answer that for you.
A:AnswerThe HP Spectre x360 - 13-aw0003dx does not have an HDMI port. You would need to use one of the Thunderbolt 3 USB-C ports to connect a USB-C to HDMI adapter.