:)
Which actions? There's a few that are multi-turn, some as they're longer things but mostly for balance (e.g. empowerment, clothing related stuff; and also the visitors sleep/bathe durations).
Suspicion comes from what people say about the manor after leaving, so it'll go up if they saw anything weird.
Clothing can be transformed or destroyed in the laundry by maids.
Cops don't know how to leave, but investigating ones have a toggle set that allows them to leave; this can be set on the arrest groups as well.
There's a couple of actions that can be done on cops that arrive to investigate (which will happen eventually, but you can turn them off entirely in gameplay settings). Explaining missing characters is a major one; someone with high social should be able to explain things away (as long as the cops don't encounter the missing character in a recognisable form).