You are entitled to the CA state EITC if you resided in CA for more than half the year. So you qualify for 2016.
If your OH job is temporary and you intend to return to CA, you should file a full year CA return and file a non-resident OH return. Temporary for tax purposes is defined as expected to last less than 1 year and actually does last less than 1 year.
Reference: https://www.ftb.ca.gov/individuals/faq/net/900.shtml
