I assume you are in Ohio, since you mention both city and school district income taxes.
Q. Do I need to file city tax or school district returns if I have amount in W2 box 18 &19 ?
A. Yes, probably.
But, there's a major exception. You normally only have to file a city income tax return in the city you live in. It is not necessary to file one in the city you work in, if different. Your employer will remit withholding to the city you work in, but you do not file a city return unless you're claiming a refund or your employer didn't withhold enough ( both highly unusual).
Only school district residents file a return & pay the School District (SD) Income tax (SDIT). Non residents who only work within a taxing SD are not subject to withholding. If SD withholding was mistakenly withheld, you will need to file an SDIT return, to get a refund.
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