Slow Queries Not Logging
I think I got the answer:
You need to put those options under the [mysqld] section
[mysqld]
slow-query-log=1
slow-query-log-file=/var/logs/my.slow.log
long_query_time=1

and restart mysql
UPDATE 2013-03-05 16:36 EST
I don't know why this is still happening, but please try this:
service mysql stop
rm -f /var/logs/my.slow.log
touch /var/logs/my.slow.log
chown mysql:mysql /var/logs/my.slow.log
service mysql start

then run SELECT SLEEP(10); and see if it lands in /var/logs/my.slow.log