Do I Have a Bad A/C Compressor?

What is your question?

A/C was not blowing cold air. I went under the hood and saw the belt for the compressor was gone. Maybe snapped off. I replaced it with a new belt. I turn A/C on but still no cold air. I tried recharging with refrigerant but as soon as I started adding it in there was an awful screeching noise. Now whenever I turn the A/C on, the car stalls. What's wrong?

What makes this problem better or worse?

Worse when I add refrigerant

How long has your 2003 Subaru Forester had this problem?

A few days