1. Weaving
2. According to www.mvorganizing.org, "InSpite of being blessed with excellent weaving skills, Arachne was too arrogant. This made Athena furious because she was one of the best in weaving skills. She became angry at Arachne’s foolishness at the beginning of the story." Arachne's boasting was what upset Athena.
3. Athena weaves a warning into the corners of her cloth, it is mortals who tried to challenge the gods. In the center, there was Athena fighting Posiden.
4. Arachne was turned into a spider by Athena