Your child might/could do better

I found these two explanations that might help you: Conditional forms & mixed conditional

From what I understand from those two sites, the answer would be that 1 and 2 are both pure second conditionals since the result clause is "might" and the conditional clause is in the simple past!

Though I'm a bit confused as to why it's "got/had", "got" doesn't make any sense to me, so I answered your question by assuming the conditional clause is "if she had a different teacher".