i know these are small details, but it is the small things that ruin the big picture for me. first, in the future when daphne came home to parkman after sylar blew up she knocked on the door, or rang the door bell, one or the other. why on earth would a person do that at the place they lived? secondly, if lindermen is only an image in nathans head, and is really a hologram, how was he picking up chess pieces?? any explanations would be greatly appreciated

1. She might have forgotten her keys

2. Maury made the IMAGE of him picking up chess pieces

"Knock-a-door run" is so much more fun when you've got super speed?

She may have not had the stength to pull a key out of her pocket and open the door.

The only thing left that kept her on her feet was obviously the hope to see her family for a last time.

She wanted to keep her promise and she knew that she can if she focus (I will be back soon, don't worry, I promise).

Many people had done that before, the only strength that remains in such situations is your will.
You ignore everything else and focus only in that one purpose.
She made it and was able to see them for the very last time before she grumbled and died in matts hands.

Linderman probably didn't to and couldn't do, if they really did that (I'll have to rewatch), then it was obviously a mistake cause the actor himself said that while in the production he tried to touch adam in a scene and the director immediately shout CUT, what are you doing? You can't touch him, you are a ghost!