Last month, two policemen brought a loaded gun to a kindergarten show-and-tell. The handgun mistakenly went off, injuring four parents and one child.
The next day, an officer responded to a village quarrel and fatally shot a man in murky circumstances.
Police also fired repeatedly at a knife-wielding man driving a truck, killing him - even though witnesses said he posed no real threat.
The incidents - which have generated widespread media coverage and social media buzz - come after authorities decided in April to issue guns to patrolling officers to better protect the public and improve police response to crime and attacks.