Mitosis: 1\. Yes, the spindle fibers attach to centromeres at the prometaphase
<
Meiosis: 1\. The nuclear membrane breaks down in Metaphase 1 and reforms during Telophase. It breaks down again in Prophase 2, reforming after that in Telophase 2 in the daughter cells.
2. The spindles attach to the centromere is Metaphase 1
3. Yes the spindles attach to the sister chromatids in Metaphase 2
Check out this animation, it might be pretty useful