I have worked for a pet grooming shop in Ohio for over 5 years. I was recently terminated. Do I qualify for unemployment benefits?

A co-worker at the shop decided to quit due to a disagreement with the owner. The next day, the owner asked me to de-friend this person on facebook. She asked me again the day after that, to which I politely denied her request, since it had nothing to do with work. The owner then called me off of work the next 2 days without explanation. On the 3rd day, I was called to the shop for a meeting with the owner. I was told at this time that I was too slow in performing my job duties, and was terminated on the spot. I only had 1 write up (over 2.5 years ago) for something totally unrelated. I believe I was not fired for anything other than not "de-friending" my former co-worker on facebook as the owner requested. I meet most of the qualifiers for unemployment benefits. However, I don't know if my former employer is considered covered employment or not. It's a small business. 18 workers. 2 that pay taxes. I was a tax paying employee. Do I qualify for unemployment compensation?