Will my apple care plan cover a broken screen and broken led screen for free?

No it will not. Apple's warranty and/or Apple Care plus does not cover user damage. However, if you do have Apple Care plus, then there are two instances of accidental damage that are covered for a lesser deductible than a regular cost for screen replacement.

Not for free, but for a discounted rate from what it would be out of warranty. Check out: iPhone Repair - Official Apple Support

With AppleCare+, a screen replacement for the iPhone 8 will cost $29.

Hope this helps,

Richard

No accidental damage is covered for free. You get 2 cases of accidental damage at a reduced price.

It would still be covered for one of the two accidental damage fees.

Apple. Sprint cannot do repairs, and to be honest, I don't trust Best Buy, but that is my personal opinion.

The outside glass screen and the LED are fused. It is all replaced as a single part.