Hi there and welcome to BW forums:)
First of all, you're doing great! Teaching your baby sleep is never an easy task:/
On the shush-pat matter this is the link that explains a lot about how to do it:
Shush-pat - How toBut it will not help you put down the baby if it's not the right timing. SO you have to know 2 things: how and when to do it
About when... I feel like she was OT the whole day, because she was trying to fight naps as they were so early after WU. She got so tired that had finally take a good afternoon nap:)
I don't think the reason she fought these first naps in a day was OT. She had a great night, slept a lot so she simply had time to rest and needed some more time to play:)
At 3 months A time should vary between 1-5 and 2h. Sometimes if you stretch that wind down to 45 min it has the opposite effect, it makes them agitated. What I am trying to say is, sometimes starting wind down at 1.5h mark can take 10 min till eyes closed, but starting at 45 min can take 1h and give you no results:/ Try starting sleep routine at 1h-1h15 min. We'll see how it goes:)
Also, if LO doesn't want to sleep for 20 min of shush and patting, it's good to take them outside of the room for 10-15 min and try again. It seems like less torture for LO and the mother:) I know something about it. I never knew if it was hard on me or my DS :p