Wait...So are you getting video only, and no audio, or nothing at all???
Are you using the ARliberator App?
First of all, I don't think that the Note 8.0 is on Pioneer's list of approved/confirmed devices for use on the AppRadio2.
Also, the MHL/HDMI adapter that is sold in Pioneer's "Android Connection Kit" is the older 5-pin micro-USB connector.
You tried it with Samsung's newer 11-pin microUSB/MHL-to-HDMI adapter that is made for the SGS3 and Note2, right??? And you are plugging in the adapter to a microUSB charger, right? It will not work without this.
Pioneer's and Samsung's adapter for the SGS2 and original Note 5.3" will not work because it is the older 5-pin microUSB/MHL connector. You can buy just the 5-pin to 11-pin MHL adapter for about $12 that should allow it to work if you have the older MHL/HDMI adapter.
I don't know why you'd want to use the smaller and lower Res AppRadio2's screen over the Note 8.0's anyway?!? I guess you lose AM/FM tuner and the Backup Camera if you have one.
You can bypass the AppRadio2 and just use your Tablet to get RCA line level preouts and Digital Optical (Toslink) audio from the Note 8.0 if you use the MHL adapter with this $40 device:
Oh, but I forgot to mention that you would need separate car audio amplifiers to power your speakers for this setup to work. :/
I just returned my AppRadio2 and am using my SGN2 with this adapter in my car audio system to get digital audio output sent from my Note 2 to the digital optical input of my RF 3Sixty.3 DSP, then to my amplifiers and then speakers.
I'm using my Note 2 because I wanted one audio source/device, with cell phone capability...the AppRadio2's built-in Dialer/Phone app borked/hid my Note 2's Keypad when it forces the display into landscape mode. :/ I guess that I could have used Tasker to switch back to portrait when the dialer/phone app opened, but then it is tiny on the AppRadio2's display.
I'm also using the Samsung SGS2 SmartDock in combination with the USB JoyCon EXR plugged into the SmartDock to keep my OEM Steering Wheel Controls and add extra functions to my SWC by long-pressing the buttons, etc. You have to program the JoyCon EXR with your PC before installing it, but it works great to control your Android's audio player functions with your SWC.
If you do get it working, you'll probably want to use the "Screen Standby #root" app to turn off the Note 8.0's screen backlight without putting it to sleep so it charges up faster. You must be rooted to use this app, however.