Looks like you are doing really well if you've only just started to put her down in her cot for naps
The shorter naps could well be that she is still getting used to sleeping, transitioning and waking on her own, without movement of the car or Mummy's arms and heart beat, yk? I wouldn't worry too much about her naps being a bit unsettled during this time when she is still learning to sleep alone.
That said though, you could try a slightly longer A time. 1hr 15, 1hr 20 is guidance for 2 months and that's about where you are now so you could try that and see how it goes? She might sleep better.
About the paci - so long as you are happy to re-plug for a long time then fine, but Tracy's method was not to re-plug and to only use the paci prior to sleep and remove before sleep to avoid the prop. There are benefits to using the paci, SIDS guidance suggests it is safer, but also SIDS guidance is to not drop paci use with a baby who is used to it and relies on it for sleep so if it becomes habit now you kind of need to keep going on with it if you see what I mean.
All your choice of course just letting you know.