Here is a log part for sound when I set the sound settings like you gave me(appearantly defaults). After this the S_SOUND_SYS_ENABLED sets to false. Also during game startup it shows the dialog and says that the sound was disabled and more information can be found in log.
[2016-12-28 15:10:43] [SOUND] flag settings changed! [2016-12-28 15:10:43] [SOUND] flag settings changed! [2016-12-28 15:10:43] Starting up SoundSystem... [2016-12-28 15:10:43] Initializing LWJGL OpenAL [2016-12-28 15:10:43] (The LWJGL binding of OpenAL. For more information, see http://www.lwjgl.org) [2016-12-28 15:10:43] Error in class 'LibraryLWJGLOpenAL' [2016-12-28 15:10:43] Unable to initialize OpenAL. Probable cause: OpenAL not supported. [2016-12-28 15:10:43] [SOUND] ERROR CRITICAL. TURNING SOUND SYS OFF [2016-12-28 15:10:43] ERROR MESSAGE: [2016-12-28 15:10:43] Could not locate OpenAL library. [2016-12-28 15:10:43] STACK TRACE: [2016-12-28 15:10:43] org.lwjgl.openal.AL.create(AL.java:156) [2016-12-28 15:10:43] org.lwjgl.openal.AL.create(AL.java:102) [2016-12-28 15:10:43] org.lwjgl.openal.AL.create(AL.java:206) [2016-12-28 15:10:43] paulscode.sound.libraries.LibraryLWJGLOpenAL.init(LibraryLWJGLOpenAL.java:164) [2016-12-28 15:10:43] paulscode.sound.SoundSystem.CommandNewLibrary(SoundSystem.java:1576) [2016-12-28 15:10:43] paulscode.sound.SoundSystem.CommandQueue(SoundSystem.java:2572) [2016-12-28 15:10:43] paulscode.sound.CommandThread.run(CommandThread.java:121) [2016-12-28 15:10:43] ERROR MESSAGE: [2016-12-28 15:10:43] Could not locate OpenAL library. [2016-12-28 15:10:43] Starting up SoundSystem... [2016-12-28 15:10:44] Switching to No Sound [2016-12-28 15:10:44] (Silent Mode) [2016-12-28 15:10:44] [SOUND] flag settings changed! [2016-12-28 15:10:44] [SOUND] flag settings changed!