Multiple timers accessing single class

We have third party software that has 20 MS Access database. The software resides on two boxes: 1 production and 1 for fail over.
I'm creating an app the copies the databases at different intervals; some monthly, some daily, and some every 30 sec. I plan to use a single class (CopyDB) to handle the copying.  My question is since I have three timers running how do I ensure that I do not get a race condition or that I do not miss one of the copies (monthly, daily) because the class was being used to copy (every 30 sec). Will synclock be sufficient?

Thanks in advance for you suggestions