Hi nokkitt, welcome to the forums.
From this site:
Dual Credit it says that "To have dual credit courses transfer to Texas A&M, the student must submit to Texas A&M University an official college transcript that lists the completed college courses." I would believe, that, since the credit will be on the college transcript, it should count. I would give them a call on Monday to verify.
Regarding your question about getting track list courses completed, if you do not meet the requirements for the major in which you apply to, they may hold your application and allow you to send in a transcript after the semester has ended, providing that you have completed the rest of the required courses. I was missing one class from the BME required classes when I applied for the Fall, and was essentially denied admissions.