A few more options. Your screen might have a protective film, in that case it's probably damaged and wants to be removed.
Not sure if your screen is aftermarket. Not sure if it's polycarb or acrylic. You can polish acrylic, if you try to polish polycarb you just end up with thousands of scratches. This is one way to tell the difference (usually in a small inconspicuous area) which you may have just found out the hard way, so I'll guess for now that you have a polycarb screen.
You can remove scratches from polycarb with a propane gun. It's hard to describe and if it's a first attempt, you want to use a spare piece for practice. Work in a circular pattern and looking at the screen at a reflective angle, as soon as it gets glossy, move the gun to a new position. Hold the gun further from the screen than it needs to be, say six inches, and slowly bring it closer until you find the sweet spot, leaving it too long in one spot will cause it to turn white, which can also be fixed, but you want fewer headaches, not more.
For sure there will be YouTube videos with a much better description than mine.