Just looking at these 3 points, since you're printing onto A4 substrate and step "5" is simply cutting the A4 2-up in half, your finished book hasn't got a cleanly finished knife trim to three sides. As you also have a laminated card cover in the mix, I imagine this lack of final trim to give an even block is quite apparent. You'll also find this trim can reduce the "wavy" effect - we often print and laminate stacks of SRA3 300GSM posters, when looking at them on the bench the next morning there's often a little waviness there, however after chopping them down to A3, it's as good as gone.
On a production machine, you would be printing A5 4-up onto SRA3, centered at 80/112.5mm, 240/112.5mm, 80/337.5mm, 240/337.5mm to give you the full bleed and final trim capabilities.