In large parts of the US if a company provided phone and/or computer is used to make the phone call or do the browsing none of the actions you listed are illega

In large parts of the US if a company provided phone and/or computer is used to make the phone call or do the browsing none of the actions you listed are illegal. Neither is firing someone because the software said they weren't at the computer. In many states besides being fired for being part of certain protected classes you can be fired at anytime for any or no reason.