As a service manager at a Deere dealer and former baler tech, I see both sides of this. Did they ever come to the field and check the machine in operation? Sometimes there are adjustments and things that happen in the field that you just cant figure out in the shop. Im not sure what the labor rate is at your dealer, but at say $85 per hour, it doesnt take long to get a grand in something, and at todays parts prices, another $700 would be pretty easy. That being said, the tech and service manager should know that you shouldnt put a grand into a 14T baler, thats just going backwards. The machine may be at a point where you cant fix due to parts being available.
My suggestion is go in and set up time to talk it over with the Service Manager, Tech, and even the Store Manager. It may get it figured out, it may not. Thats the only way youre going to know for sure.