The trike kit you have is definitely the same one that I had. Mine was a 2008 model. But the drive shaft does not look like the original. I'd look under the rear end to see if that shaft was attached to a big square boxy thing.....instead of being attached directly to the differential. If the bike has that additional box, then someone had done "custom" repair of the old drive line.
Then you have a decision to make, trailer the bike to a specialized drive line shop and have a new one made. Or, go with the upgraded drive shaft system from CSC. CSC has a very good and informative web site. They are also VERY responsive to customer issues both on the phone and through emails. The good news is you have a trike kit from a company that is still in business and can get you taken care of.
If you do need and decide to upgrade with the CSC driveline, know that the trike body must be removed. This is not a job for an inexperienced person or shop. I'd opt for trailering the trike several hundred or even a thousand miles to a place that knows what they're doing and HAS DONE THIS BEFORE. Good luck..... Jim