Yes, it will sound a lot better actually. Unfortunately the course introduces "swój" quite late and there are a lot of not-that-natural sentences because of that.
"you close your home door" is not what any native English speaker would say
Well, it misses the word 'domu' completely and not every door to the house has to be from the front side...
why not "you close doors in your house"... it fits perfectly? dziekuje
Is there a separate verb for lock . My wife seems to use zamykac for both which can be confusing.