Hi Maofaha,
I remember my DD getting her night start time a bit confused at this age, you could either just go with it if you're ok with getting up at 5am for a while and then try to gradually shift, or keep doing what you're doing (ie getting him up and doing BT routine) but maybe don't let him sleep for so long before doing that, so keep it a catnap - I know, hard to do when you're so relieved he's finally sleeping longer than 45mins, and tbh I'd often let mine sleep for an hour before realising, but it might help to reset his clock so that he doesn't get so much deep night sleep before BT.
Struggling before naps is pretty common and everyone thinks it will never get better but it does, promise
Your A time looks about right to me, although some LOs will manage more, do you actually start your naptime routine at 30mins? I'd leave it a bit later than that, maybe try some calming activities for a few minutes before going into the room. Having said that, at this age OT tends to be more common a problem than UT, and after a short nap he won't be able to manage much A time.
You're right, he may not be hungry after a 45min nap, unless perhaps he's going through a growth spurt. But then of course with low A times at this age, you wouldn't want to leave it too long or he'll just be tired and hungry at the same time, as you rightly point out! There are two main ways people deal with 45min naps on EASY at this age:
(i) Try to resettle when he wakes (or even go in before the 45min mark to 'catch' his jolt and shh pat him through the transition), for up to 45mins or until he shows you he's hungry or it's been 2.5h since his last feed, say
(ii) Get him up for a very short, calm A time (eg 20mins or so) and then head back for another nap before the next E
Then there's the APOP approach - using a prop (eg holding, sling etc), either to get him back to sleep after a short nap, or for the next nap, to ensure he has a good one. I did much more APOP this time around and didn't regret it
Night wakings are hard, there are so many possible reasons for them, but unfortunately if he's not sleeping well in the day that can lead to more night wakings - another reason why I've become a bit of a fan of APOP in the '4th trimester'! You must be shattered
I'd say if he's not settling easily with shh pat then just feed anyway, unless you find that he doesn't take a good feed? Hopefully if you can get more sleep into him during the day and stretch out those daytime feeds then he'll feed better in the day and not be so hungry at night. With the short naps, how many naps and feeds does he end up getting during the day, and what intervals do you usually get between feeds?