Need help identifying part, reason for damage, and way to prevent reoccurrence

My main issue is that the left balance has disconnected from the sash because of a tear in the sash catching on the metal clip of the balance's cord. Over time, the window would catch and become difficult to close, until I e day, it was forced closed, snapping the metal clip off of the balance. When the new balance is installed, it can't be placed in the same hole in the sash, but lowering the location of the balance also lowers the location of the window lock, which is already out of alignment.

My questions are: Which balance part number do I need to replace this window (there are several with the number 3140)? What might have caused the "catching" of the window in the first place (we bought the house last year, it's 17 years old and we're the second owners)? Will moving the balance connection to the lower hole solve the problem, or should the sash be repaired/replaced (I don't want to have to go through this again in a couple of years)?

We have several windows in our house with varying issues, but most appear to be balance related. They were originally Empire Pacific Windows and had a lifetime warranty, but we aren't the original owners, so we can't reach out for assistance through them. I appreciate your help.