AUTO_INCREMENT column are only set after insert.
If you need to access that value, you can only in an AFTER INSERT trigger. However, you cannot modify a column value in an AFTER UPDATE trigger...
In addition, you cannot perform an update on the table used in your AFTER INSERT trigger as (http://dev.mysql.com/doc/refman/5.0/en/stored-program-restrictions.html):
Within a stored function or trigger, it is not permitted to modify a
table that is already being used (for reading or writing) by the
statement that invoked the function or trigger.
Here the only reasonable solution would be to create a stored procedure to update the table, adjusting the relevant columns in a transaction to "emulate" you atomic insert statement.
That being said, in your particular case, the key column is redundant as that column is just the concatenation of two other columns of the same row.
Given its name, aren't you looking for a way to create a compound key instead? Something like that:
ALTER TABLE tbl ADD UNIQUE KEY (countryCode, id);