Without root (I'd use oandbackup if it were), your only option is to manually do it. You can export/import contacts (*.vcf), calendar events (*.ics), installed apk's, and obviously folders. Settings? no.
For installed apk backup use MiXplorer. It's free & skinnable. The rest should be builtin or just google it.
Previously I suggested MLManager but realized it tries to call home a 1000x one too many. Garbage.