Well done.
One thing I would suggest is if he wakes say 20mins after you settle him at say 2am take that as a cue he probably needs a feed (reasonable to expect at least 1 night feed at 5mo), particularly if he has been unsettled & crying lots at an earlier time in the night, when they cry they get dehydrated & that can increase waking, when teaching them to fall asleep at night without a prop, it is the first 2 wakeups that are the most vital, just make sure if you do feed in the night that you don't let him fall asleep while he is feeding, so if he starts to drift off stop the feed & put him to bed.