To add a SysTray section, configure the dock in question, and in the Dock Proerties window, select Dock Contents. There you have the option to turn on SysTray OR Taskbar OR Neither.
You can have a SysTray and other dock items in one dock, but not a SysTray and a Taskbar.
If your having trouble adding items to a dock with a SysTray, keep in mind that If the dock is positioned on the right side of your screen, then the SysTray should be positioned on the right side of the dock (set this in the Dock Contents section as above). Then you should be able to add items to the left side of the dock.
After adding a SysTray to a dock, if it doesn't work right off, try a reboot with ObjectDock set to start automatically or put a shortcut in your startup folder. If it still doesn't work, then you may need to investigate if you have a process (sually comes with StarDock products) TrayServer.exe running. Someone else can help with that, I hope. I've heard conflicting info on the nature of this process, but some folks need it and don't have it.
hth, rr