Lena I am going to attempt to explain in plain English, something I would understand.
You first rung (as Randy stated) can NOT latch in the timer.
NOTE: MAKE A NOTE TO YOU OF THIS: Any action that is started needs a way to be stopped.
Think of HOW you could make that timer continously loop (this has been discussed ALOT on here), you have the right idea by using the timers DN bit as an XIC to restart the timer BUT you failed to LATCH the timer.
Add another rung where PB will turn on a bit and the bit latches itself...remember what I said about STOP too. Then use that bit to initiate the timer.
Terry gets into DEEP details BUT if you take the time, maybe even print out what he says, and READ in detail then you will come closer to understanding. The same goes for many many of the others too.
Take your time, read, then read again, then read again, try, try again, try again. Look at your examples closer, take more time to read in detail.
Terry stated it best with the comments on conceptualizing. You have to "draw" a picture of the process then implement that picture. To quote Terry...you have to be the COMPUTER.