Any rollovers done in 2017 will be included in your 2017 tax returns.
The April 18, 2017, IRA deadline is for making a contribution to be counted as a 2016 contribution.
You rollover does not affect the amount you can contribute to an IRA - see https://www.irs.gov/retirement-plans/plan-participant-employee/retirement-topics-ira-contribution-li.... This page also discusses contribution limits if you are also able to participate in an employer-sponsored retirement plan. Based on the information you have provided, it does appear that you are eligible to make the full $5,500 Roth contribution. You are, in fact, able to make the maximum Roth contribution on or before April 18, 2017, as a 2016 contribution and then make another contribution for 2017 (assuming your income still falls within the guidelines).
