LabVIEW/VISA only recognizes the comm port. What are you running that you expect it to be recongnized? In your program did you use VISA Configure Serial Port? Is there a termination character required for write strings? If so, are you sending it and how? Are you running one of the shipping examples for serial communication? Which one? What is the instrument?
As you might guess, the reasons for a serial instrument not working are numerous. At least you know that the cable is correct because it works with the old program. If you were to do a search of the forum for serial communication, you would find hundreds of questions on the topic. If you were to provide some additional information and maybe even attach the code you've written, it would help a lot.