Should cops be armed? Depends on the country. If it has restrictive gun laws, they, imo, shouldn't. The reason is that criminals expecting to face the police, if they arm themselves, do it depending to what they expect the police to have, and the ease of getting guns. If for instance the police have battons/tazers, they won't get an SMG as it'll be risky to aquire, and give the harsher punishments if they're caught.
As for tazers, the problem with them is that while they are suposed to be usead instead of guns, police officers tend to use them instead of battons. And while tazers don't usually kill, they do it often enough to be a poor substitute for old fashioned hand to hand subduing.
whenever an officer tells you to do something, you do it, no question, it's for your own good
Depends on were you live, were I live, you often do it for their new car.