Yes you can
At hockey games some people take pictures down around the boards (side of the ice) using cameras. I don't know if you need special permission or not, but security will want to check out your equipment. Keep in mind there's a restriction on how big a bag can be taken into the facility for hockey games.
That is truly situational.
Depends some shows don't want flashes going on during their sets like we went to Disney Live just recently they asked no pictures and no recording devices
Yes
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