When ever I make a change or add something to my e-mail acounts it affects the broswer button. Instead of being taken to a screen where you can enter a web site address it takes you to the e-mail account screen. The only way I have found to correct this is to shut down the phone, take the batery out and put it back in and restart the phone. Once I have done this the browser button works as it should.

Is this normal for the phone to act like this?

do you have 2 browser icons?

No just one Browser Icon~