Welcome to Just Answer. I am here to help you resolve your tax and finance concerns. Please feel free to ask anytime you need extra help.
To keep this simple so it becomes easier to understand, I am going to assume this was the only activity.
The $12,000 gross from the 1099-MISC is to be recorded as gross rental income. The $1,000 commission for the management service should be reported as rental agents commissions expense and the $1000 for repairs should be reported as repairs expense. This way the income matches the 1099 and no flags go up while the $2000 in expense deductions reduces the net to the $10,000 you actually received.
That said you can add/deduct any other income/expenses to finish the return.