Summer Seminar (USMA/ USNA/ USAFA)

Hi! Summer seminar applications open this week, but I will not have my current PSAT or ACT scores until the end of December. When I took them my sophomore year, I received a 27 on the ACT and on the 8 to 38 scale PSAT I got a 34 on reading, a 33 on writing, and a 30.5 on math. I have heard that your chances are better of getting in if you apply as early as possible. Is this true? Should I apply early with my old scores or should I wait until I get my new scores?