Hi t.man,
I just checked the schematic and according to your pin arrangement of Y2 it would look like this: (values in paranthesis are true values for normal connections)
14(1), 13(2), 12(3), 11(4), 10(5), 9(6), 8(7), 7(8), 6(9), 5(10), 4(11), 3(12), 2(13), 16(15), 15(16)
To proceed with the layout there is some info required, mainly because there is an obvious error in connecting the LC-display. At least one data line is missing.
Please label all nets in and out of the MCU. This isn't only helpful for proper layout planning, but also useful for trouble shooting.
Make it look similar to this: