Issue resolved.
For those that are interested:

After updating my baclient to v6.2.2 and rebooting, I removed my node 
(exchange2010_tdp) from the TSM server and recreated it.

1.Register TDP for Exchange Node
                Register Node EXCHANGE2010_TDP xxxxxxxx Domain=STANDARD 
Contact='' BackDelete=Yes MAXNUMMP=2 KeepMP=Yes
2.Register TDP for Exchange Proxy Node
                Register Node EXCHANGE2010 xxxxxxxx Domain=STANDARD Contact='' 
Cloptset='OptionSetName' BackDelete=Yes MAXNUMMP=2 KeepMP=Yes
3.Grant Proxy Authority to NODE_A
                GRANT PROXYNODE TARGET=EXCHANGE2010_TDP AGENT=EXCHANGE2010
4.Remove "TSM Client Acceptor Daemon" and "TSM Remote Agent" services if exist
                Dsmcutil remove /name:"TSM CAD"
                Dsmcutil remove /name:"TSM AGENT"
5.Install "TSM Client Acceptor Daemon" service
                dsmcutil install CAD /name:"TSM CAD" /node:exchange2010 
/password:exchange2010 /optfile:"C:\Program Files\Tivoli\TSM\baclient\dsm.opt"
6.Install "TSM Remote Agent" service
                dsmcutil install remoteagent /name:"TSM AGENT" 
/node:exchange2010 /password:exchange2010 /optfile:"C:\Program 
Files\Tivoli\TSM\baclient\dsm.opt" /partnername:"TSM CAD"

The two items that fixed my issue were:
1) I was at BA v6.2.0 and I needed to upgrade to v6.2.2
2) After I installed the TSM CAD, it was not started.  I had to go into 
services and start the TSM CAD.

Thanks to all that responded.

Side note:  The document (URL) that David referenced was very helpful.  In 
fact, the document pointed out that my service was not started when I 
referenced the error.  The second thing to note, is that the document (URL) 
said in step two to register the node with userid=NONE.  I did not follow that 
part of the documents instruction as the very bottom of the document said not 
to register your BA client with userid=NONE.