For the WLAN module, it's bound to have +5V and GND plus two data lines (as it claims to be a USB module, although with a non-standard connector). If you look at the connections on the bottom side of the PCB, and/or measure what the four pins are connected to, you should be able to identify GND and +5V quite easily. Then, I think it's safe to simply try the two possible pairings of the data lines, and see whether you can get a PC to recognize this as a USB device.
For the display, it would be good to see the bottom side of the PCB, where the driver chip will be. Can you unclip the PCB from the white plastic frame and flip it over, then take another photo? (Careful with the flex cables!)