motor swap

Hello, does anyone know if the gearbox and flywheel from the N53 engine would work on the N54? I'm doing the swap and I'd like to know before disassembling the car as its my only car. From the pictures on realoem they look a bit different but if it fits with small modifications that's fine.

I have a 2011 E90 335i that just spun a rod bearing. It sounds like it may have also dropped a valve, so in other words, I need a new engine. I haven't found any definitive answers for this question but how interchangeable are the N55s from different years and chassis, so I was hoping the...