Without looking up the pin details, I presume they are the handshake lines, depending on the particular program it might require hardware handshaking - so you either need to provide handshaking, or copnnect them across to fool it.
So it's only important if hardware handshaking is required by the program!.
Several are handshaking pins. The only ones to really be concerned with are RTS (request to send) and CTS (clear to send). These are pins 7 and 8. In rare cases you may have trouble sending data from a computer with only pins 2,3, and 5 connected. This is usually because an RTS signal is unanswered. To solve this just connect pins 7 and 8 together. It is best to do this anyway just to be safe.