having trouble on new bike
 

I just bought my first bike, a 97 gsxr600. Everything runs fine but there is some smoke coming out of an overflow tube that sits near the rear shock. I was told by the owner that this was normal but I'm still a little worried. Is this normal and how much smoke should there be? I'm also having trouble keeping the battery charged. Did I buy a junker or is this stuff fixable? Thanks for the help