Correct use of transactions in SQL Server

I have 2 commands and need both of them executed correctly or none of them executed. So I think I need a transaction, but I don't know how to use it correctly.

What's the problem with the following script?

BEGIN TRANSACTION [Tran1]

INSERT INTO [Test].[dbo].[T1]
    ([Title], [AVG])
VALUES ('Tidd130', 130), ('Tidd230', 230)

UPDATE [Test].[dbo].[T1]
  SET [Title] = N'az2' ,[AVG] = 1
  WHERE [dbo].[T1].[Title] = N'az'

COMMIT TRANSACTION [Tran1]
GO

The INSERT command is executed, but the UPDATE command has a problem.

How can I implement this to rollback both commands if any of them have an error in execution?

Add a try/catch block, if the transaction succeeds it will commit the changes, if the transaction fails the transaction is rolled back:

BEGIN TRANSACTION [Tran1]

  BEGIN TRY

      INSERT INTO [Test].[dbo].[T1] ([Title], [AVG])
      VALUES ('Tidd130', 130), ('Tidd230', 230)

      UPDATE [Test].[dbo].[T1]
      SET [Title] = N'az2' ,[AVG] = 1
      WHERE [dbo].[T1].[Title] = N'az'

      COMMIT TRANSACTION [Tran1]

  END TRY

  BEGIN CATCH

      ROLLBACK TRANSACTION [Tran1]

  END CATCH  

At the beginning of stored procedure one should put SET XACT_ABORT ON to instruct Sql Server to automatically rollback transaction in case of error. If ommited or set to OFF one needs to test @@ERROR after each statement or use TRY ... CATCH rollback block.