2000 Mitsubishi Galant Car spun out

I was driving on a small street in my neighborhood when my car all of a sudden spun out. It felt as if the back of the car just lost control. The weather was not rainy but there was heavy fog and the ground was a little wet. A few days before that my two tires busted on the left side of my car. I got them replaced and the two new tires were placed in the front and the 2 old tires were in the back. After my car spun out today I took it to discount tire and they told me that the back right tire had very low treading and had no water traction. So they rotated my 2 new tires to the back on the 2 old tires to the front (the low treading tire was moved to the front right). After they did it, it still felt a little odd while I was driving as if there were some moments where I felt the car would slip again. The feeling of the car slipping happened a couple of times yesterday also and it would always pull the car to the left (at this point the tires had not been rotated to their current position). Is the car slipping out a cause of the one bald tire I have or can there be another issue involved. Originally the two tires that had popped were because the person driving my car had ran over a curb.