My son got in the high 1200’s on his first try. He told the coach’s he’s getting a private tutor and will do much better the next time. He did. His comment showed determination to improve. It’s a positive trait.
1310 will work for many HA’s. If they’re looking for 1350 they will believe he will do better the second time. Most kids improve their scores.
SATs are becoming less important for some colleges. But regardless I know kids who played at Ivies with 1350.