Front end shimmy and turn signal problem

I have a 1995 Mitsubishi Galant and 2 things I have issue with. I have 1 broken tire stud and a strip tire stud on my passenger side. I notice more and more when I drives my front end is shimmery. Could this be because of those 2 bad studs or could this be other front end parts going bad? And my turn signal isn't working. When I crank my car up my left turn signal just start blinking and won't turn off. I can't get it to work from the right side either. The only way I was able to stop it from blinking from the left is to remove the fuse. Do you have suggestion for this problem. Thanks!