Thank you both,
I did use the commands provided by @peterleinchen.
I will just add the importing commands for reference:
Contacts:
devel-su -p vcardconverter --export contacts.vcf
restored manually from file manager
Calendar:
devel-su -p icalconverter export calendar.ics
restored manually from file manager
Messages:
commhistory-tool export -groups messages.exp
commhistory-tool import -groups messages.exp
Calls:
commhistory-tool export -calls calls.exp
commhistory-tool import -calls calls.exp
to restore:
tar -xf notes.tgz --directory=/
[edit]
All that remains is probably only the configuration data for few Android apps (not the user files). Don’t you know where that is stored? I don’t think there is any configuration inside /home/nemo/android_storage/Android/data/