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That sounds like a good plan! Do you need help with that? Would you like me to walk you through this in a screencast? As far as the fireplace goes another option would be gluing a rope around the fireplace to hide the gap. Here is a link to a video for the door.
https://laminateuniversity.sothatshowyoudothat.com/how-to-install-plank-to-an-exterior-door/
