2004 Mazda 3 Shakes at 60-65mph

My daughter drives a 2004 Mazda3 i, it now has just over 97k on it. I have been driving it for the past fews days to determins if her claims are true to how the car has been running. There is a vibration or shaking that takes places when the car approaches 60mph and them once past 65 mph it stops. At first I just thought it might have how the roads were grated, but it does this with persistance. I have also noticed that while driving that the front suspension is not as tight as it used to be when I would go through dips or over bumps. It will have a little loose bounce to it, and not seem to absorb like usual. There is also a rubbing sound that is coming from the drivers front wheel, like the caliper is rubbing or something. I can only hear this when driving at slower speeds, like in a parking lot.

I have also experienced a heavy vibration when the car comes to a stop and the RPMs drop real low, and then tries to recover and drops low again. Also when accellerating the RPMs seem to go real high before the car catches up to it. Kind of like the tranny is slipping, but it is not when I go to the manual mode.

Whatever suggestions that any of you may have would be greatly appreciated. I want to have the car in order by mid-August for her to go back to school.