Which of the following statements is false A) A summary is an objective overview. B) Including your likes and dislikes about the work of literature...

You have correctly narrowed the choices down to the two that I immediately was drawn to as well.  Between choices "A" and "B" though, "B" is most definitely the correct false choice.  

A summary should definitely be objective in nature, but at times a summary unintentionally hints at subjective opinions of the writer.  

With that said, choice "B" is all the way false.  A literary analysis is objective in nature in several ways, and it includes the writer's opinion.  The opinion though is never "this is what I liked or didn't like."  The opinion is always a statement of some kind that is backed up by textual evidence.  For example, it could be my opinion that Romeo is a Petrachan lover.  Someone could for sure argue against that, but in my analysis I will provide evidence from the play as to why I think that.  

A different kind of literary analysis might be a close examination of the rhythm, meter, and rhyme scheme of a poem.  At no point should the writer of the analysis explain whether or not they liked the poem or not.  It should focus on the structure and prove that the structure is or is not a certain way.  No matter what though, a literary analysis of any kind attempts to stay emotionally neutral while backing up opinionated statements with factual evidence from the text being examined.