For the 24-hour clock, pick a PLC that includes a real-time clock in its function set and learn how to read it. If you try to write one in ladder logic, you will be disappointed with the accuracy, even if you are using a PLC that lets you compensate for the inherent inaccuracy of ladder logic timers.
For the countdown timer, what are you supposed to do? Do you need to display the time remaining until some event? Do you know how to do basic arithmetic like subtraction?