In the training level, go to Lara's library. Across from the fireplace there are bookshelves. The second shelf has a book sticking out. Pull it, then the fire will go out. Climb up the chiminy and walk down the corador into a room. Climb up onto the ledge and pull the switch. Run back to the chiminy and jump down(Beware, the fire will be on again!). Run down the stairs and into the open door. This is her basement. Climb into the water tank and swim to the bottom. There you'll find the race key! Happy hunting!
When you enter the mansion go to her pool. Behind the diving board there is a switch. Press it to open a door in the main room with a switch behind it. Pull the switch and quickly turn around and sprint for the room across the hall. Inside you'll find some of the artifacts she's collected on her adventures.
To get rid of the butler
In the outdoor training area where you are timed, go through until you are almost at the end. When the targets start popping up, the Butler should wander outside somewhere into your range of fire. shoot him repeatedly. He gets up a few times, because he uses his serving tray as a shield, but if you keep on shooting him, he will eventually die.
