In question 4 ("Identify the components of the two layers formed in step 2. How did you make this determination?") did the hexane extract the dye? You have the upper hexane layer marked "clear". I assumed this was the extraction of the dye from the water-ethanol solution.
In question 5 and 6, you are asked to confirm the contents of three flasks:
a) water and ethanol
b) Sudan IV and hexane
c) mostly hexane with trace Sudan IV
Yes, I think GC could be used to identify the solvent or solvent mixture after distillation. You could evaporate the remaining solvent and confirm the identities of the dry solid residues of flask b and flask c using IR spectroscopy (best) or by their melting points (may be less reliable, as the reported melting range of even pure Sudan IV is rather broad, 181-188°C).
Although I don't know the steps of the procedures, your answers look reasonable!
Steve