Help needed

1. 'Relook' is a really terrible word, hardly ever used by English speakers. I would suggest 'look again' instead.

2. 'An artist's artist' is correct. Putting the apostrophe at the end of the word 'artists' works only if you mean plural 'artists.' And in that case the indefinite article 'an', which is singular, would be inapropriate.

3. That sounds correct, yes.