As I understand it, you have this:
öffnen = aufmachen = open
schließen = zumachen = close
einschalten = anmachen = turn on
ausschalten = ausmachen = turn off
The words have identical meanings, but the first words are the more formal, official words, and the later are the more casual slang-ish words. I can't tell you which ones are more common with any authority, but I have gotten the impression that "aufmachen" and "zumachen" are not uncommon at all.
I'm confused. My Verben app shows "schloßen" as "to close" and it is conjugated as "er schloßte" but the word doesn't show up in my Wörterbuch at all. And it has "schliessen" as "schließen" and is conjugated as above: er schloss.
Could somebody clarify what the situation is with these two words? Is this related to the reform?
'Locked' is past tense, and 'locks' is current tense. Were I to hear the sentence "She locks the door", I would think that the action is currently happening; "She locked the door" makes me think that it happened in the past (moments ago or even longer time back, in the past). 'Schloss' is the past imperfect of the verb schließen (to close, to lock). :-)