What career was Alice pursuing at the start of "Alice Through the Looking Glass"?

What is the name of Alice's cat?

When did Alice lose the necklace she was wearing?

In the beginning of "Alice in Wonderland," what color are the flowers that Alice is making a crown out of?

When Alice arrived in Wonderland, she found her friends. They told her that there was a problem with the Hatter. What was wrong with him?