Do I need to wake him from second nap at all or just let him sleep
I would only cap one nap. I found OT accumulated very quickly if I capped both. On the odd occasion (if bt would otherwise be very late) it's fine, but I wouldn't do it every day.
We got another 35 min nap even with the extra 15 min A time.
Are you sure this was UT? We would get 35 min naps for VERY ut, but otherwise it always meant OT
1) What is the end goal in terms of an easy schedule?
A structured routine that allows your LO to get the amount of sleep he needs and that suits you! 12.75 hours total sleep is very low for this age
Is he happy on this? And 10hr15 is a short night - usually you want a longer night (10.5hr+) as night sleep is more restorative than day sleep. That said, it's not uncommon for days to lengthen when you're in a nap transition - we were up to 14 hour days at times in the 2-1, but my LO would get OT if her nights were that short for very long.
When I was capping at 45 mins, my EAS started off looking something like this:
WU: 6.00
nap: 9.30 - 10.15
nap: 1.15-3.15
bed: 7
Slowly I'd need to stretch out the second and third As or I'd get EWs, til bt got to 7.30/45 - then when the EWs started again I cut the nap to 30 mins, so something like:
WU: 6
nap: 9.30 - 10
nap: 12.45/1 - 2.45
bed: 7
I was given the advice to not give the first nap earlier than 9.30 no matter what the WU (except maybe on the odd occasion), and it really helped to push our EWs later.
Does that help?