well free verse is just basically writing, it follows no patterns.
a haiku follows the pattern of 5 syllables (in a line) 7 syllables (in another line) 5 syllables (in the last line).
a cinquain poem makes fun of a person. the last word in the first line must be that persons name. the second one rhymes with the persons name and then the next two lines rhyme together. im not too sure what an alliteration poem is.
hope i helped! =]