You said contract work- that implies self-employed with deductible business expenses. You would enter all of the income, including the reimbursement, on your business return. Write off all your vehicle expenses (to counter the reimbursement) and take the property tax with any other deductions. See Deducting Expenses
If you are an employee, unless you meet the federal exception for employee expenses, you will not have a federal deduction. You may have a state deduction. See Is Mileage Reimbursement Taxable Income? - TurboTax - Intuit & About Form 2106, Employee Business Expenses
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