Jacksond13

I just picked up a 03 GT today.i notice when I slowly accelerate,push in the clutch or let off the gas somewhat dramatically ,the car will sway .the higher the speed the more violent the swaying is.i jacked up the rear and had no movement.but I jacked up the front and noticed when I apply pressure at 9 and 3oclock right where the inner steering tie rod goes into the boot on the rack there's like an 8th inch or play.both wheels have play so I'm assuming the tires are going whichever direction slightly when I let off the gas,causing my swaying.but my question is,is that a inner tie rod issue? or a rack issue?the tie rods are definitely old .should I just take the boot off at the rack?will that give me a better idea? I'd hate to spend 100bucks on the tool just to have to buy a rack after.thanks everyone