I think your question #2 is important, and assuming it's a decent %, as a followup I would ask if she develops individual plans based on the person. Maybe ask how a typical session goes (with adult T1), who does the most asking, what would she expect of you. Will she get to know what's important to you, or does she think the appointments are about what she thinks is important.
I assume your last question is really regarding Lantus vs Levemir for example, or Humalog vs Novolog, etc ? I wonder if a better way might be to ask about specific concerns you're having with your basal or bolus routines. Are you high/low after meals, have DP, etc. Or maybe a matter of cost ? Then ask if using a different brand/insulin or timing/dosage might help.
Several of your questions are general and she will likely answer 'it depends' ! Why not say specifically, that YOU do low carb, or YOU have/want A1C < 6. Ask her if she'll support you with that, or would she try to talk you out of it.
One question I have asked new endos is why they chose being a dr, and why an endo. Just me being curious, and they are usually surprised by it, and give interesting answers. It can be a nice 'ice-breaker'.