Should everyone get a second chance after messing up?
In God's eyes or man's eyes? In God's eyes we do. In man's eyes, we usually don't.
Should we give second chances more than we do?
For many things, yes.
Yes; after I give everyone else their first chance.
It depends on how badly this messing up involves others. A bus driver falling asleep at the wheel killing several of his passengers shouldn't, at least not a second chance at bus driving.
What about a second chance as a person? No second chance as a driver - even if it were an honest mistake and wouldn't be repeated?
As a person yes, unless loss of human life from a deliberate act.