The two suspects were last seen armed with a handgun and running behind the store.
While some groups have launched committees, others say that change requires action.
Police responded to cases of theft, fraud and more this summer.
Gatherings are now restricted to 50 people maximum.
The council discussed sending letters to the county officials requesting they reevaluate their policies.
The task force will review the department’s operations, including hiring, training and use of force policies.
The officer was suspended in April 2019.
The announcement comes one day after former chief Hank Stawinski resigned.
A 94-page report released Thursday alleged that the department was entrenched in systemic racism.