Just like the title says. It's a 1995 Accord LX with drum-brake setup in the back. How would i go about replacing the broken wheel stud ?

 

There are 4 philips screws that hold that part in place, you now must get that out.. and i highly recommend you to spray something like wd40 in order to make it easier, those screws do get rusted inside.
Once you have that in hands, take to someone who can press out the broken stud and press a new one in. You can find the studs on tasauto.com