[heatmizr]

One comment, if those pieces cracked from leaning on them or pressure such as that, you will want to be careful even if you do fill/sand them before the wrap, as they could crack again and/or one edge could sit higher and that will def show through.
Safest route might be to just put some glue or other epoxy on the inside to reinforce it around the cracks, possibly even adding extra layer of scrap plastic for strength (not so much that it interferes with whatever sits below). Then just sand the top and wrap it.