It sounds like the accelerometer in your Wii Remote is not working properly.
The "point-and-click" stuff like the Wii Menu use the WIi Remote's camera (which is behind the dark part on the front of the Wii Remote). The motion-sensing for swinging, tilting and other motion uses the accelerometer in the Wii Remote.
Wrap your Wii Remote in a towel and give it a whack against your knee (not so hard as to injure your knee) - sometimes the accelerometer part gets "stuck" and needs to be jarred out of position.
If that still doesn't work, then go to Nintendo.com, click Support, and go to the Wii Troubleshooting section for more options.http://www.nintendo.com/consumer/systems/wii/en_na/ts/wiiremote.jsp
Also, you don't
have to use the same remote as #1. The first remote that is activated will become #1.
You can also push the Home button on the Wii Remote, then point to the bottom (where the battery levels are shown), press A, then click on Reconnect. It will tell you to press the 1 and 2 buttons on each remote in the order you want them to appear. Press the 1 and 2 buttons on the remote you want to be #1, wait for the remote to sync (the Wii will make a happy nosie), then do the same for the remote you want to be #2, etc.