Sylvia Plath was steeped in tradition. If you read her earlier poetry - for instance, the poems in her book The Colossus - you will find a great deal of formalism. In her later poems she did move away from strict forms, but she didn't forget the technical skills she knew, and there is plenty of rhyme (full and slant), assonance, alliteration etc as well as rhythmic awareness in the later poems.
As far as schools, I don't really think about poetry that way. I look at individual poets. Whether they belonged to or could be considered to belong to a particular movement (eg. the Imagists, the Acmeists) can be of historical and critical interest, but I don't know how helpful it is in the writing of poetry.
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