I mean there are a lot of different hax that could help Goku considering the wide variety of hax in fiction. Some passive hax that lowers the speed of his opponent might be useful but Goku doesn't really develop hax unless it's to counter someone else's hax.
Not really. He's peefectlp capable of just getting up and healing himself, but that would result in Terra being consumed by s massive warp storm which would probably become at least like a new eye of terror, if the chaos God's themselves aren't rrleased. So he stays there.