I understand that they both mean I do not like, but I'm not sure what exactly
「好きではない」means. Moreover, does the particle 'では'make a difference, or could you
have just used 'は'?
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question
word-choice particles
What Is The Difference Between 「好きじゃないです」and 「好きではないんです」?
Actually they are equal --> じゃ（JA)＝では（DEWA）Not only you may find 「じゃ、では」ないです,
but also「じゃ、では」ありません and their level of formality differs:

じゃない → most informal

ではない → more formal

じゃありません → more formal

ではありません → most formal

では is used in more formal situations. It really depends on the context, who
you're speaking to, and how formal you want to be. For more information on
their usage, you can visit[ [this
page]](http://selftaughtjapanese.com/2015/02/26/japanese-particle-
combination-%E3%81%A7%E3%81%AF-de-wa-and-%E3%81%98%E3%82%83-ja/)
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answer
You seem to be asking two questions in one here, about the difference between
では and じゃ and also about what the presence or absence of ん means.

Number 1, じゃ is a contraction of では, like how 'can't' is a contraction of
'cannot' in English. では can be formal, or it can also imply greater emphasis.

Number 2, ん is a contraction of の in the のだ・のです structure. 好きじゃないです (and
好きではないです) is a plain statement. 'I don't like it.' With ん, there's a bit of an
explanatory nuance. Note that, directly following a noun or na-adjective,
のだ・のです takes the form ～なのだ・なのです, or ～なんだ・なんです contracted. This form cannot
directly follow a noun or i-adjective; 「好きではないなんだ」 is ungrammatical.

「今度、寿司を食べに行きませんか？」 'Will you go out for sushi some time?'

「遠慮しときます。魚は好きじゃないんです。」 'I'll pass. I don't like fish.'

As you can see, 好きじゃないんです explains why the person is turning down the
invitation.
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answer
好きじゃないです is  
すき(like)＋じゃない(not)+です(is)  
=do not like

好きではないんです is  
好き(like)＋ではない(not)＋[な]んです(is that)  
=do not like

In other words, they are the same.  
I would say じゃない is more colloquial though.
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answer