If you have a new solder tip on your iron or one that was never used with Lead Solder (just lead free) you can try if you want to solder the LCD by just adding some flux and reheating the flex cable.
That is low temperature solder so you do not need high temperature setting fro the iron below 300C
But if you send it to me I will just install a new LCD.
You only need to pay for the shipping both ways I do not charge for repairs not even for components. But it will likely take some time depending also on your location.