No, it does seem excessive that adding $1300 more income would increase your tax that much.
However, since we can't see your return in this forum, you should definitely look at your Form 1040 and Schedule E and review the numbers.
In TurboTax Desktop, go to FORMS in the upper right corner.
In TurboTax Online, you can see all your forms after you have paid for the program, or go to TAX TOOLS > TOOLS > VIEW TAX SUMMARY in the left-side menu. Then, back at the menu, choose 'Preview My 1040'.
Are you sure you have entered all your expenses? Most rental property generates a negative income. Have you entered your rental as an Asset in the Assets/Depreciation section?
If you can't resolve your issue, you can Contact TurboTax Support where they can actually look at your return.
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