Turnover that cost over $6000. Am I getting gouged here?

Costs seem reasonable, assuming all this work needs to be done. Did you get photos of the damage after the tenant left to verify it is all needed? 

This is one of the risks when people invest in cash flow markets. Often you find C class properties and tenants will be hard on the property, resulting in larger expenses. 

You are into this for $6K, so even if you are cash flowing $500 a month, it is a break even for the year. That doesn't include other repairs, lost rents or leasing fees. This can turn a "cash cow" into a "cash hog" quickly.