Sylar does have a power. He can see exactly how things work and fix them if they are broken. He looks into the brains of other heroes, sees how the "power" is working in their brain and changes his own DNA. They mentioned that in the last episode. The reason why Sylar could not persuade daddy was because the Haitian was there blocking his thoughts etc....just like he did when Matthew the cop tried to read Claire and her dad. Sylar is much stronger then Eden and ready for her mind meld, so he was able to pull her through the glass. He did not kill her. I believe Eden killed herself by shooting herself in the head so Sylar could not get her powers. She destroyed her brain so he could't see how she ticked and take her powers.