Even with external fuel, the F-35 would not be able to make that distance. With regards to this "incident", Iranian officials rejected it and they laughed at the claim.
This Kuwati newspaper is known for the silly fantasy stories they come up with.
No one claimed they were invincible, that's is not the point. The point is can they get the job done when needed.
Morever, for your information, the UAV that was shot down by a Pakistan was a large shahed-129, even an antiquated radar should be able to detect that. If you want to see a real use of "stealthy" UAVs, check the Iranian attack on Saudi Abqiaq.
Look, at least do some research on Iranian air defence capability. Israel has no hope of trying to use its airforce against Iran. Iran was preparing its air defence for a potential war with the US in that region, you think Israel is anywhere on that level?