grammar - Question about the use of "either"

Is the use of "either" in both conversations below, grammatically correct?

• 
  

  I don't like it.

  
  


• 
  

  I like it either. ( to mean: I like it, although you do not like it )

  
  

And

• I don't like it, do you like it either?


• Me neither.


• Oh, that is great. We are very similar to each other!