Green Arrow isn't typically portrayed as an asshole. He's often a hero with a strong sense of justice, but like any character, he has his flaws and moments of difficult choices.
Yes, it can be. It often gives enough background within the story so that new readers can follow along. They'll quickly get a sense of who Green Arrow is and what he stands for.
Oliver Queen became the Green Arrow after being stranded on a deserted island. On the island, he had to fight for survival, which made him learn various skills like archery and hand - to - hand combat. These skills became the foundation for his transformation into the Green Arrow when he returned to Star City to fight crime.
One great 'Arrow Oliver Hurt' fanfic is 'Broken But Not Beaten'. It delves deep into Oliver's emotional turmoil after a particularly harrowing event. The author does an amazing job of portraying his pain and the struggle to rise above it. Another good one is 'Healing the Wounded Arrow'. It focuses on how his friends and loved ones help him through his hurt. There are also some really interesting ones on Archive of Our Own if you search specifically for 'Arrow Oliver Hurt' within the Arrowverse section.