Well, I would normally certainly suggest you do it, it is invariably better to use the correct drivers for specific hardware.
As you only have a three button mouse I don't see how you could be pressing the "wrong" buttons, or anything like that, and a hardware problem with the mouse would not cause behaviour like that.
Do you have another mouse to try? I would try that first and see if it makes any difference.
If it does then it is almost certainly a driver problem specific to the mouse you are now using. Installing the correct driver should solve it.
If it doesn't then it is still a driver problem, possibly a faulty generic driver, and installing the driver again should fix it.
One other thing I would check is that "Program Specific Settings" is unchecked in your mouse control panel settings. This can cause odd behaviour with some software;
The mouse control panel interfaces vary somewhat, depending on the mouse and the drivers used, but all are similar.
( unfortunately the User Interface on this machine is still partly in German, but I have marked the checkbox with a red outline );