On your Windows tablet you can use Webgizmo. It is very similar to the Android version of Gizmo, but it is not really a tablet app. It is really meant for computers, not tablets. It does much of what you want, although I do not believe you you can create and store new playlists. You can add tracks to Playing Now, which essentially creates a one session playlist. You can access Playlists that are stored on your music PC. You can customize the views for Webgizmo in the Options - Tools - Media Network options on your Music PC. You should give it a try and see how you like it. If it seems to do what you need, you can borrow someones Android phone and install the Android version and give it a try. Gizmo is free. JRemote in $10. JRemote is a more table friendly app than Gizmo.
You can access Webgizmo it at
http://jriver.com/webgizmo.htmlYou will need your Access Key, which you get from Options - Tools - Media Network on your Music PC. It is a 6 letter code, like ABcdeF, and is case sensitive.
Gizmo is available on Android devices.
JRemote is available on IOS and Android devices, although the Android version is not as complete as the IOS one. I believe JRemote has more playlist control than Gizmo but I do not know the details.
All of these interfaces are pretty static - very little work is being done to enhance them.
Panel is a new development and can access Webgizmo as well as other options. There is more on Panel at the top of this forum. It is more of an access portal than a new table app for audio.
Hope that gets you started.