After seeing that I owed federal taxes this year I made a decision to make a 5K contribution to my Roth IRA. My Federal Tax due amount did not change. Should it have?

No, it should not have changed your tax due unless you are eligible for the Saver's Credit. Since a Roth IRA is funded with after-tax dollars, it does not change your taxable income for this year. If you wanted to lower your taxes this year, you would contribute to a traditional IRA and your contribution would reduce your taxable income. For more information, see the differences between a Roth and a Traditional IRA here.

you still have time to recharacterize the Roth contribution to a Traditional contribution.

Or withdraw it altogether.

BUT

first make sure you are eligible for a full deduction of that amount.