the GPS ought to fit.
A bare LCD display is probably a little too big to sit flat on the proto plate. Not to mention that it would block the GPS. You really don't want to cover that with anything.
The I2C character LCD backpack I linked to before is also a pi plate.
What might work is to put the GPS on the proto plate, then stack the LCD plate on top of that. You would then use an external GPS antenna
so that having the GPS under the LCD isn't a problem.