More newbie questions.

Q1. The Tamadra are for letting the monsters unlock their awoken skills? So, I don't really have any use for Tamadras yet, right?

My monsters are still low level, don't think any of them even have any awoken skills to unlock...
Here's what I have right now (click for big):

Q2. My 003 "Tyrannos" is at max and closest to evolving. I can use a Tamadra on him after he evolves to 004 to get the first awoken skill?
Q3. Do I use 3 Tamadras to unlock all 3 awoken skills?
I got 2 Tamadra really early in the game and they've just been sitting there. Guess I will have to hold a bunch more.

Thanks for any help!
I was able to finish Castle of Satan. Sounds like it is the first checkpoint of the game, and can start mixing stuff up now.

Also want to say Catwoman has been so fun.
Her active skill is a 20-100x attack. Right now she can floor most bosses with a 50000 hit to all.

Crazy compared to all the other stuff I have.