First of all, I know it's a huge bump for a topic started 3 years ago, sorry about that!
My current project also needs a uSD card - so I took the good-old Waveshare card reader out of the drawer.
In the past I already burned a Nokia 5110 display with my Arduino Leonardo (yeah, the fancy smoke style 
) since then I'm trying to be extremely careful in what I'm doing... and seeing that this is a 3.3V unit, I am glad I did that!
Since some of you guys already got it working, did you use 10k resistors on all pins? My Nokia display has 1k on the CSE/CS pin (and working fine) maybe it's enough here too?
Or 1k everywhere? 
P.s.: D3 is SCE/CS, but do any of you guys know what D1 and D2 pins are?
Thanks!