How do you know it was the shot and not the flu itself? Sometimes people are incubating flu at the same time they get the shot, or contract it right after.
Not saying vaxes are wonderful things, but what you describe sounds like swine flu symptoms as well.
It is most likely a combination of flu shot reaction - statin myopathy and hives. But the symptoms didn’t start until the flu shot. Not everyone has a bullet-proof immune system.