When to add what indexes in a table in Rails

I have a question about Rails database.

• Should I add "index" to all the foreign keys like "xxx_id"?
• Should I add "index" to the automatically created "id" column?

• Should I add "index(unique)" to the automatically created "id" column?

• If I add index to two foreign keys at once (add_index (:users, [:category, :state_id]), what happens? How is this different from adding the index for each key?

  class CreateUsers < ActiveRecord::Migration
    def self.up
      create_table :users do |t|
        t.string :name
        t.integer :category_id 
        t.integer :state_id
        t.string :email
        t.boolean :activated
        t.timestamps
      end
    # Do I need this? Is it meaningless to add the index to the primary key?
    # If so, do I need :unique => true ?
    add_index :users, :id 
    # I don't think I need ":unique => true here", right?
    add_index :users, :category_id # Should I need this?
    add_index :users, :state_id # Should I need this?
    # Are the above the same as the following?
    add_index (:users, [:category, :state_id])
    end
  end
  

Great answer so far. Additional question.

• I should add "index with unique" for xxx_id, right?