I understand that the virtual remote control skin you get on the SlingPlayer for Android tablets (Xoom) does not look like the physical one you use.
First, I recommend you to verify if the cable box or DVR you use is included on the supported devices list. This is the link to check:
If it is included, I encourage you to run one more time the A/V setup. This way, you should be able to get the right remote control skin. If it is not included, you will not be able to get the right remote skin, therefore you will get a generic remote control skin. Finally, the rotating screen is a feature that is not available for this specific application.
Hope this helps.