I find it hard to say what is wrong without seeing a couple of days in EASY format. The 10min naps can either be OT or UT, it can also be due to discomfort?
Did you check for Reflux already?
She is still VERY young, it would be good if you could just follow her sleepy cues now and try to get her to sleep wherever and in whatever way, don't mind so much independent sleep right now, she is tiny.
I also think it's too early for pat/shh...
Did you read Tracey's book?