Slamming doors shouldn’t too hard or expensive to address, given handy and available members. Fabric weather stripping works wonders.
It may require a bit of effort to recess it into the door or jamb in cases where closing tolerances are tight.
A more expensive solution is an adjustable manual door closer, but selecting the right one isn’t as easy at it might seem at first glance.
As for noisy pushkas, a fabric insert might be a novel, yet effective silencer. I don’t recall ever seeing such a thing, though.