Can't configure Scala in Intellij IDEA 13

I entered Scala courses on Coursera and used to write Scala projects in Eclipse Indigo. All worked well. But now I gonna to convert to my favorite IDE - Intellij IDEA.

But I can't configure it for Scala usage.

What I've already done:

1. Install Scala, set system SCALA_HOME variable
2. Install SBT
3. Install Scala plugin on Intellij IDEA

What a problem:

1. When I import coursera assignments, Intellij doesn't see some classes like List, Array etc. For example, when I try to import it via Alt+Enter key it propose me java.jang.reflect.Array, java.sql.Array, com.sun.xml....Array. So I can't import Scala Array with tail and head methods.

2. When I try: New Project -> Scala Module the are to problems:

   a) When I choose Set Scala Home it complains that there are missing files

   b) When I choose Existent Library there is nothing to choose in Compiler/Standart fields.

Question:

How to configure Intellij properly?