People have some guns in rural places worldwide but you almost never encounter them. Gun ownership rates drop off fast after the US (I think the 10th highest country is 1/4 of the US rate) and the rates keep dropping from there. Also while rural farmers may own a shotgun or a rifle they mostly leave that locked up at home, the chances of you meeting someone with a gun is pretty tiny. Only exceptions I can think of are perhaps some Central American countries.

100% not true here and not in Eastern Europe. People in villages don't have guns everywhere.

Also, the one subgroup of villages who do have guns are actual mafia members. But their power is mainly in organization and in having bought cops. You having own gun will in no way help you if you are targetted. The rest of people have them generally only if they need them for job, very rarely otherwise.

Villagers don't have guns for fun either all that much, it is also costly. The self defense laws are also such that gun is likely yo get you in serious trouble.