Yeah, those I saw.
From my understanding the "Alien Registration Number" is just for permanent residents (Green card holders). The L1B (Or the H1B for that matter) sadly don't have one.

As far as the Redress number goes, I don't have one of those either
("A Redress Number is a unique number you can obtain from the U.S. Department of Homeland Security if you share the same name as someone on the U.S. watch list")

I did give them my global entry / known traveler number over the phone, but that didn't really change anything. Sadly, they also couldn't tell me what their "security check" is.