I have replaced the laser module twice on my own machine with no great problems.
Those plastic mouldings you refer are the transport suspension isolators. There should be 4 of them and they should slide off sideways. or compress (very carefully) the head of the isolator so you can pull the plastic case of the laser unit from the thing. However be careful removing these as they are irreplaceable unless you can find a donor machine. Once they are off it should be relative straight forward.
For what it worth I found that the strip wiring loom that folds over and turns back on itself and moves with the transport forward and backwards gets stress factures at the bend point. The inner track gets the most stress and its generally this track that splits on the inner edge. Easily spotted when you remove the old unit. This is likely the cause of your fault. It was this that happened on both the laser units I replaced. Also check the connectivity of all those small white multipin connectors.
I think I still have my old laser units. I could take a photo of the point of failure on the wiring strip.
EDIT. Found one my old laser units. Photo below of stress fracture of the inner track right at the tight radius bend.