Tess,
LSDAS will take all of the grades that you have thus far on your transcript, and calculate their own LSDAS GPA for you. LSAC will only penalize you for withdrawals IF you are penalized by your university for withdrawing (usually in the case of WFs or other types of withdrawals late in the semester). If your college treats a W as an F, then LSAC will do likewise; otherwise, you're fine. It takes a couple of days for LSAC (especially now, with things as busy as they are) to analyze your transcript, but the transcript analysis is posted to your LSAC account under Account Status >> Transcript >> Academic Summary Report.
LSAC will send whatever grades you have on file.