Should I have federal estimated taxes if I did last year for the same self-employed business even if I have a small refund?

[MichaelMc · Accepted solution]

Yes.

If your payment of quarterly estimated taxes last year resulted in what you characterize as a small refund, and your income is not expected to substantially change this year, failure to make quarterly payments would leave you owing a significant tax bill when your file your tax return next year. It would also make you liable for penalties for being under-withheld compared to the tax due.

For more information, please refer to: 

IRS Pub. 334 Tax Guide for Small Business