Hi there Amanda
I see you have a couple of other threads running just now. We generally try to keep all advice in one place, it saves you from spending all your valuable Y time (if you have any!) on posting to various threads and trying to keep up with the different advice from the community.
I would say from your description that your LO is UT. They certainly can fall to sleep quickly when UT as they are in the habit of sleeping at that time so just continue to do so (they can also do the opposite, fight the nap and scream in your face trying to say they are not ready). They can wake looking quite happy from an UT nap, but can also wake very annoyed and upset, mine did this, he was tired enough to be cranky and frustrated that he was not asleep but not tired enough to have transitioned into the next sleep cycle. I know it is confusing as there is no hard rule.
Looking at your LOs age and A times it would also make sense that he is UT. A time at 5 months is more like 2hr - 2hr 30. I would move quite rapidly to 2hrs (ie over just a couple of days rather than drawing it out over weeks by which time he needs longer again and you are stuck playing catch up) and see how things go then.
I hope this helps.
I suggest for continued support you continue to post to one of your other threads (I may see if they are suitable to merge, or if you have a preference we could lock one?) so that all the information is available in one place.