Definitely. Song of Achilles takes inspiration from history and builds a fictional story around it, making it a prime example of historical fiction. The characters and events are placed within a historical context to give it that genre classification.
Definitely. The book takes elements from the past and builds a fictional narrative around them, which is a characteristic of historical fiction. It explores themes and settings of that era.
We can get some information from Achilles's drawing. Achilles was a demigod hero from Greek mythology. In FGO, he was a five-star knight follower. His drawing had changed at different stages. At the beginning, he wore black tights. After breaking through, he had silver armor and orange ribbons. After breaking through again, he wore golden armor. After breaking through, he held a spear that carried lightning. Achilles 'portrait gave him a sharp and cool image. However, the search results did not provide any more detailed information about his drawing.