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Avoid using the phrase as I think instead of I think. Say: He's lazy and I think he'll fail, not as I think.
Before a person we use with or in, before a thing we use at, about or by and before a gerund we use at; Keith is very disappointed at not winning the prize. We use that (optional before a new clause): I was disappointed (that) I didn't get an invitation.
Since Homer was a Greek poet, the first sentence makes him greater than himself, which is illogical.
In the correct form of the sentence, the first do means nothing on its own and only helps to make the question. The second do is the principal verb of the sentence, and has the meaning of perform.