Hi,
I have the very same (and other) issues with my Surface Pro 3 and I have contacted the MS Support. I opted for the advanced exchange and have received a replacement device, that did not unmount the cards, that previously did not work on my own device.
I had a Sandisk 64GB Ultra, that frequently unmounted and a 64GB Samsung EVO, that worked. Strangely with the generic card reader drivers also the Sandisk seemed to work.
As my device had other issues too - I received a replacement device from MS which was not in proper condition - so I had to return it and I will go for another replacement now.
As the Sandisk worked on the replacement device - I got back to MS Support and tried to get confirmation, that the unmounting of the SD cards was indeed a fault, that MS was aware of and if the next replacement device would also be Ok.
This was the statement, that I received:
Thank you so much for your reply. I am really sorry for that. Regarding with the issue with the unmount SD card and display issues, we actually recommend a reset or restore the device back to the original factory settings.
If it is already done, it means it is already a hardware issue with the device and needs for a replacement. Microsoft is already aware of this issue and the respond of the customers online with the same issue with you.
According to this statement, MS are aware of the issue and they should respond to other affected customers the same way.
Hope this helps.