If these are standard EMC tests, and your processoer is not resetting, you will fix this with a refresh of the screen at intervals. If you always refresh your display every couple of seconds, or at least every 5 seconds, you will not fail the EFT test or the surge test. When you refresh you should also initiate the LCD at intervals. The best is to do it at every refresh, Remember not to clear the display, since this will blank it, just rewrite the setup and the contents, and the refresh will be invisible.
The problem with LCDs is the big metal frame on the display, and the high impedance of the electronics in the diplay. This creates a big capacitor to other metal parts influenced by the spikes from the test.