Balance
Thanks for posting! Your window is likely stuck because the balance assembly is damaged in so way. There is a good chance we can provide you with a replacement balance, however, to be absolutely sure, I'll need to see a photo of an undamaged balance removed from the window.
I am specifically looking to see any attachments that could be connected to the balance or to the bottom of the sash. I'll also need to know the stamp from the metal channel of the balance.
To determine the correct replacement for the broken tilt latch, I'll need to see a photo of that latch as well. If it has installation holes, I'll need to know the measurement for the distance between them, from center to center; written out.
Please feel free to reach out with any questions in the meantime.