At 10:56 the machine that is being adjusted is used for surgical incisions and cauterizing tissues. It does not have anything to do with providing oxygen to a patient.
Walter tells the nurse to give the child 5% oxygen by nasal cannula in order to keep him in a low oxygen environment. Because normal atmospheric oxygen concentration is at 19.5% or above, giving the child 5% additional oxygen by nasal prongs only increases his oxygen intake as he can still breathe room air.
Olivia asks a witness if he's noticed anyone demonstrating "anti-social behavior". This represents a common misuse of the term. "Anti-social"" refers to not conforming to social norms, such as not being uncommonly insensitive to the rights and boundaries of others. A person with anti-social tendencies can be charming and engaging.
In Walter and Peter's apartment the security latch on the inside of the front door has been installed incorrectly, the "bolt" is facing inward which would make the device useless. This probably indicates that the set was built quite hastily.
When the child is in the hospital bed, the oxygen monitor on his finger switches hands - when Olivia is sitting on the bed with him, it is on his left hand, but when she is looking at him, with the social worker through the window, it is on his right hand. Olivia's notepad also switches sides indicating that the shot has been flipped.
As Olivia is writing on a notepad, the child all of a sudden grabs her arm. There is a shot with both of them in it and he has his hand on her jacket. There is a section of skin near the child's midsection that is exposed where medical wires are inserted. There is clearly much more pigmentation on this section of skin than there is on his feet, hands, face and head.
When the Child is writing in Olivia's notebook for the third time, the pen has a black and white tip and is upside down at first, then it cuts to a shot where the Child is holding the same pen the right way up. Finally, we cut to a close up of the pen, which is much larger and has an all-black tip.