Aight some answers!
* Name input in a textbox is fine on its own (like a starting point, for flavour), but if it alters the story itself (i.e. branching or variation in text), then it would be considered as a choice. Or if you are going the Parser-in-a-Twine way, then follow the parser rules.
* If the 'quit' part of the *Continue or Quit* actually ends the game (like a game over/return to menu end, or a *Restart the game* way), it's fine. Otherwise, it's a choice.
* If this is some meta-/non-story-choice (Codex/Settings/Restart), fine. If it actually affects the story, it should follow the one-link-only/multi-choice rule.
Hope this helps!