Ignore FL.
When asked in the personal info section if you earned income in another state, answer no. The purpose of that question is to see if you need to file another state return. You don't since you have no assets.
I'm not familiar with OK software. But, a question about out-of-state income should not come up (in other state software) if you answer no, back in the personal info section, about income in other states.
Since you have a loss, on the rental property, an increase in OK refund is normal. You do not exclude the FL income/loss from your OK return.
