Re: either vs. also in negative sentences
There was only one sentence that use "also" so correcting "this" to "these" is wrong. You can say "like this" to mean "in this manner."
I don't like vanilla ice cream, nor do I like chocolate ice cream.*
This is another was to say it. All are correct.
* A good example of how something can be correct and not true. It seems many English learners confuse these words.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.