No, you will probably not pay any taxes since you withdrew your excess Roth IRA contribution before the tax-filing deadline (there should be no 10% early withdrawal penalty nor any 6% excise tax on the over-contribution).
You already paid taxes on the money you contributed to the Roth IRA; so taking that amount back out is tax-free.
However, if the account earned a few cents or dollars (e.g., in a sweep/money market fund), than any earnings distributed with the excess are taxable as ordinary income.
Code P on your 1099-R Identifies the distribution as a "Return of excess contributions taxable in the prior year."
Code J identifies an "Early distribution from a Roth IRA." (when paired with P, it just lets you & the IRS know that it was a Roth account).
Enter the 1099-R exactly as it appears; be sure to enter both P and J in Box 7.
Make sure Box 2a matches your form; if it is $0, no income will be added to your return.
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