All remakes are by DM Team approval only.
The DM Team is more likely to approve minor changes than major ones, but all changes require you to justify them as they relate to your character and your character's roleplay.
We discuss the individual requests and weigh them both against past precedent (what have we approved and disapproved before) and what we consider reasonable changes, and reasonable justification for those changes.
A player may be approved for one remake a year. That means if you get approved for one, you won't get approved for another one for a year.
However, that does not mean that your one application for a remake will be approved.
In general, you're encouraged to build the character you want to play to start with. Don't expect to rebuild your character later.
However, if you think your character should be rebuilt later, you can apply to have it rebuilt. You have to justify to us why it should be rebuilt though if you do seek to rebuild it. We may not see the same justification that you do.
We don't have a table or chart posted of what kinds of rebuilds are allowed and what kind aren't, and we're not likely to post such a table.
There's no rebuild that is automatically going to get approved. Just know that the more minor the change, the more likely the chances of approval.