While earlier is better than later, don't submit your application until it's in top form and error free! Consider these words of advice from Anne Richard, Associate Dean of Admissions and Financial Aid, for George Washington University Law School. "The time to submit the application is when it is done and in the best shape possible but, earlier is better, because I believe most law schools have a rolling admissions process." LINK
WHEN CAN YOU EXPECT TO BE NOTIFIED
What the school's admissions policy is, when the school receives the last of your application materials, and whether you are a borderline candidate (this often delays a definite decision) will all affect when you are notified of the admissions committee' decision. Career Services at Prineton Universiry
After you register for the Credential Assembly Service (CAS), you must have a separate transcript sent to LSAC directly from each undergraduate and graduate institution you attended in the US, its territories, or Canada.
Read How To Have Transcripts Sent. This material is a little past the middle of an LSAC WEBSITE.