Your X5 may still have Jawbreaker but lost shortcut. Go into File Explorer and navigate to Windows Folder, scroll down until you get to "J" and see if you can find Jawbreaker.exe, if you do:
Copy it and scroll back to Start Menu folder and click on it. Go to Program/Games, once you are in Games folder, click 'Edit" and select 'Paste shortcut' and the shortcut should be found in the Games folder.
Here's one link where you can get synch cable:
http://www.expansys.ca/p.aspx?i=104683
In Google, just type Axim X5 synch and charge cable (or Axim X5 synch and charge retractable cable) You can do the same with eBay, but be careful, I bought one from eBay once and it turned out to be a lemon.