There appear to quite a few serial handshaking signals that you may not need so I reckon the following...
RESET -> any spare digital pin, use to reset the board
ON/OFF -> any spare digital pin, use to power up/down the board
VCC/GND -> same on Arduino
RX -> any spare digital pin, use as your serial output (probably, depends on their naming convention)
TX -> any spare digital pin, use as your serial input (probably, depends on their naming convention)
CTS/DCD/RTS/DTR ? some may need to be tied to enable an internal UART
RI -> may be usable as an interrupt
It looks fairly straight forward but you really need a proper data sheet, even if you get the pins right what are you going to say to the thing?
Rob