oops...seems to be two screen-shots of the mainboard and none of the memory
but you wont be able to use a dual-core processor with that board because its using a socket 478:
and dual cores use the socket LGA775:
as to the memory, there is very little available about your motherboard model for some reason, anyway, it uses DDR memory, and most if not all new motherboards use DDR2 so IF you do buy a motherboard with DDR2 then no you wouldnt be able to use the old memory.
sorry to be the bearer of bad news