nuances - 来て and 来てくれ differences?

If I understand right, those 2 are imperative forms of the verb to come. What are the differences?

Answer

Japanese has many levels of politeness etc. and therefore very many ways to make requests.

Here are some in order of politeness.

こい！ = Come!
来て = Come.
来てくれ = Do me the favor of coming.

来てください = Please come.
来てくれませんか = Could you please do me the favor of coming.