'Rats do not run without a tail' suggests that:
Problems are caused by external forces.
Running causes a loss of balance.
Even small problems have a reason or cause.
Rats have no tails.
'A child who is not embraced by the village will burn it down to feel its warmth' reflects:
Children always need to be embraced.
Villages can be dangerous for children.
The importance of family.
The consequences of neglecting someone.