Can a MAX232 IC be used for RS-232C standard?
The "C" is a 1969 Specification Revision. 
It does not dictate 25V but is compatible with that. 

Today the Spec is Ref F to expand speed, timing and low voltage enhancements and is backwards compatible.

The standard has not changed with a threshold that is the same as TTL or 1.3V = Vbe*2 but all receivers handle a wide range of Tx bipolar voltages.


  Can I use a MAX232 IC to communicate with this LCD?


Yes.