The device is very characteristic for its pop-up screen (like a Nokia slide-up phone). It should be able to run without the cover, all it does is turn off the screen when closed.
Device takes a single CR2032 battery.
Device has a touch screen, which is fundamental for the gameplay. A non-working touchscreen will break all the gameplay.
Originally, the device comes with two styluses, one as a replacement. These attach to the lanyard. If you don't have a stylus, a 3DS/DS stylus should be good too, just don't make much pressure on the touch screen.
Device automatically saves the progress every now and then.
Screen is grayscale, with 4 shades of gray.
In the case the cover falls out, or pops out, it can be reattached again. Just be careful about it.
Images
The device while closed.The device while open and running.The back of the device. Reset button is in the top left of the device.The contents behind the battery compartment.The battery cover itself.