From the extent of Japanese I know (which isn't much, but I'll do the best I can), I can get the gist of Asami's lines, they are as such:
"Simimasen" excuse me, or sorry.
"Domo" a more colloquial way of saying "thank you" (most people know arigatou gozaimasu), this is generally used with friends.
"Yabai, yaku ga kuru." Yabai is kind of like "aiya" it's like, "oh no"; then I don't know exactly what she says, but she's saying like "misfortune's caught up to us"
When Blue Beetle leaves them, she says something like "What did you say? I don't know what's going on, so let's get together." She's speaking too quickly for me to write down the romanization, but I can hear it.
However, even after watching it twice, I still don't know what the professor says to Asami near the beginning, because I didn't hear a time being repeated :( And I dunno what Lex says either :/