
I think UAVs are ideally suited to monotonous drudgery work, like flying CAP. I think the F-35, being piloted, is better suited to combat. That said, a highly stealthy UAV might be a good candidate for flying a designated route to a fixed target and bombing it. But situations where things need to be evaluated are probably best left to manned aircraft.
According to an article I read, carrier suitability should be ongoing right now at PAX and carrier trials begin next year. Really interesting technology development.