Any of theses problems can be caused by several things. Starting with the most likely.If the steering wheel shakes or vibrates particularly at about 50 to 60 mph the wheels may need to be balanced (of course check tire pressures, tire wear and condition of tire thread and overall condition). If the wheel vibration is felt only on moderate to severe braking it is likely that the brake rotors need to re machined or replaced. Braking produces heat which over time warp the brake rotors, some cars are more prone to warping the brake rotors or may be more problematic than others, driving conditions and braking habits play a big part here.
Your car is front wheel drive, it may have worn , shocks, suspension bushings /track control stabilizing bushings, worn engine mounts worn half shafts or a worn engine stabilizing mount on the top passenger side of the engine compartment.
Before jumping to any conclusions the car will need to be properly inspected.
Check the power steering fluid level (looking into the engine compartment it is on the passenger side middle mounted on inner fender, also check the fan belt tension (smaller of the two fan belts).