'Stored' is not a problem, it's a historical fault that's not currently present. You can erase it, or leave it, it won't make a difference.
'Stored and current' are the ones to worry about.
What diag tool are you using? When you say that the fault can't be erased, do you mean to say that the diag tool that you are using won't let you erase them? Is so, then you need a better diag tool, something like iCarsoft, or better still, proper (genuine) STAR diagnostic.