Vicious swaying while driving please help!
 

I have recently acquired a 2008 Audi tt from my brother. He was deployed for quiet some time and the car sat the duration in what I would consider poor conditions. I finally convinced him to give me it and while bringing it home I was on the highway going about 40-50 whenever I'd take a corner or turn or hit a bump the car would swerve the opposite way. Was terrifying felt like the car would do a full 360 or something I pulled over and stopped at a near auto zone I was told before from a lady that it was tie rods and she swore up and down about it but I didn't feel that was the case. I assumed either the sway bar, end linkages, or even bushings. I finally got it in the air and was able to get pics. Its looks like the sway bar end links are shot. Please help me locate this issue if you see one.

I have pics of the possible culprit just dont know if pics showed. Can post again if not

My 99 a4 quattro is doing the same thing
 

I lifted the car and shook around all the wheels and I didnt seem like anything loose. Went to the back driver wheel and was able to wiggle the swaybar end links by had pretty easily so I'm thinking they are bad? The car is perfectly sound no vibrations no clunking no nothing but sways bad when driving and if I hit a bump it swerves but not to crazy .just kinda feels like the wheels are gonna fall off but they aren't. Any idea what the problem was?