CMC2P0410 is the part number.

OK when I Google CMC2P0410 I get lots of pages to buy a new one.

Unfortunately I could not find a datasheet on the LCD.

The circuit the ribbon goes to from the LCD is the one you need to trace its inputs to the ribbon.

To find the value of the part or the part number for many of the SMDs you will need these Code Books.

Once you know the transistor you are looking for, these are the web sites I use for datasheets.

http://www.maxim4u.com/

http://www.alldatasheet.com/

For SMD ICs like SN74LS595 you may need to enter MM74LS595 in the search on the websites.