Argument By Selective Observation or Argument By Selective Reading, also called cherry picking. -
http://www.don-lindsay-archive.org/skeptic/arguments.html
When you want to refute a piece, you need to refute it in its entirety, not just picking bits an pieces and forget about the rest. It might seem undoable to refute a piece in its entirety, especially when it's quite an extensive one, but it is actualy rather easy to do.
First make sure you are about to try to refute claims and not a piece by someone questioning existing claims: that would be shifting the burden of proof.
(The burden of proof; the burden to do the work, lies with the claimees (of affirmatives); it's up to them to make the case; to provide the conclusive evidence and/or deductive arguments in support of their claims.)
When the latter, you are barking up the wrong tree; when the former, all you need to do is to refute the central point. This means you have to identify the central point and commit explicitly to that central point. If you can't find the central point, you have nothing to refute, and you are arguing with a straw man.
http://www.iep.utm.edu/f/fallacy.htm