I love all the music used in this episode of My Sweet 16 (the one with Ava, who had the Arabian party). So I hope it's okay to start a list of all the songs used in this episode. I've already found some. Please contribute if you can! 
Beginning:
They by Jem
Shopping:
I'm Really Hot by Missy Elliott
The boys in line:
What You Waiting For by Gwen Stefani
At the table:
Jerk It Out by Caesars
Packing for her trip:
Rock Show by Peaches
Shopping in Santa Barbara:
Just Lose It by Eminem
Dancing at the party:
Mundian To Bach Ke by Panjabi MC
Jogi by Panjabi MC
Putting on dresses:
Red Blooded Woman by Kylie Minogue
Credit card problems:
Mosh by Eminem
Going to dinner:
Drop It Like It's Hot by Snoop Dogg & Pharrell Williams
Seeing her car:
Lean Back by Terror Squad, Fat Joe & Remy
Before entering her party:
World on Fire by Sarah McLachlan

Beginning:
They by Jem
Shopping:
I'm Really Hot by Missy Elliott
The boys in line:
What You Waiting For by Gwen Stefani
At the table:
Jerk It Out by Caesars
Packing for her trip:
Rock Show by Peaches
Shopping in Santa Barbara:
Just Lose It by Eminem
Dancing at the party:
Mundian To Bach Ke by Panjabi MC
Jogi by Panjabi MC
Putting on dresses:
Red Blooded Woman by Kylie Minogue
Credit card problems:
Mosh by Eminem
Going to dinner:
Drop It Like It's Hot by Snoop Dogg & Pharrell Williams
Seeing her car:
Lean Back by Terror Squad, Fat Joe & Remy
Before entering her party:
World on Fire by Sarah McLachlan