I'm having a Sony Laptop open right now for a friend for screen replacement, though Sony Laptops are discontinued it was no issue to order a new aftermarket screen off ebay for 55 €.

2 tiny screws had to be removed to open the bezel , then 4 for the actual screen. The bezel had to wiggled a little to unlatch.

First check your warranty, then try to look up a tutorial video or blog entry.