That all looks good, everything loaded properly.
The back light should come one even if nothing is being displayed.
led:22 in the line below (from /etc/modules) will force the drivers to use GPIO22 to control the back light.
fbtft_device debug=3 rotate=90 name=flexfb speed=16000000 gpios=reset:25,dc:24,led:22
When you installed the drivers, was it from a clean image? We just need to work out if anything else is using that GPIO.
BTW: do you have the Kit or the Assembled PiSCreen
Mark --OzzMaker.com --