Can I visit immigration on May 13 for a 30-day extension and pay my fine for overstaying?

The user is on a visa exemption that expires on May 9 and forgot to apply for a 30-day extension before a holiday. They are asking if they can return to immigration on May 13 to secure their extension while paying any fines for their overstay. Comments indicate that a fine may be required for the days overstayed, but there are different opinions on whether a fine is necessary due to the holiday.