Claire and Peter are looking to stay away from Ted so Peter can't absorb his ability, so what does Claire do, run right by Ted to give her father a hug leaving Peter to think everything is ok by not knowing anybody but Matt. They had just talked about avoiding that very thing and they walk right into it.

In Landslide Sylar easily flips the van holding Ted and takes his ability. Why wasn't there any other escort, especially since the FBI knows what he can do?

When Peter finally does explode in the last ep he does so at night, when earlier Hiro went forward in time, eight weeks I think, in Issac's apartment and the bomb went off during the day.