I'm assuming that you are new to LabView so this might seem a little basic.
Check the switches on the BNC-2120. There are two that you need to use for a thermocouple. One selects the thermocouple connector or the BNC connector for AI1. The other selects the Temperature Reference or BNC connector for AI0. You will also have to set up the BNC-2120 in Measurement and Automation Explorer.
1. Open Measurement and Automation Explorer.
2. On the left hand panel select Devices and Interfaces/NI-DAQmx Devices/NI PCI-6221.
3. Then, on the right hand panel select Properties at the top of the screen. In the window that pops up select the Accessories tab.
4. Select BNC-2120 from the drop-down menu and then click the Configure button.
5. Check the Temperature Reference Enabled box and click OK to close the window.
6. Click OK to close the Device Properties window.
7. Close Measurement and Automation Explorer.
Now in a blank VI on the block diagram, drop a DAQ Assistant Input VI.
1. In the window that opens, select Analog Input/Temperature/Thermocouple.
2. Select ai1 and click Finish.
3. Enter your Maximum and Minimum Teperature Ranges and select degrees C or F.
4. In the Thermocouple Type drop-down menu select J.
5. In the CJC Source drop-down menu select Built In.
6 .Enter your timing and Acquisition parameters and click OK
Add a display and you are ready to go.
Hope this helps