i want to either study or to work abroad after i graduate. correct parrellel structure?

Just reverse two words -- "to" and "either" -- and this should be fine.

Lots of my friends think that prince's music is old. But I think it's not only excellent but also on innovation.

Yes, the sentence "I want to either study or work abroad after I graduate" demonstrates correct parallel structure. In parallel structure, each item in a list or a comparison follows the same grammatical form.

In this sentence, the verb "want" is followed by two parallel infinitive phrases: "to study" and "to work." Both phrases share the same structure and have the same purpose of expressing the options the writer is considering. Additionally, "abroad" is used consistently after both phrases, enhancing the parallel structure of the sentence.