X.509 signed certificate validity
Solution 1:
You should add -days in this line:
openssl x509 -req -in $SERVER_NAME.csr -CA CAcert.pem -CAkey CAkey.pem -CAcreateserial -out $SERVER_NAME_key_signed.pem -passin pass:$CAPD
to become
openssl x509 -req -days 365 -in $SERVER_NAME.csr -CA CAcert.pem -CAkey CAkey.pem -CAcreateserial -out $SERVER_NAME_key_signed.pem -passin pass:$CAPD