I believe what you are saying is that you took a beer off of your primary and left the yeast cake at the bottom, then added a new wort to that yeast cake to ferment using the same yeast.
I have never done this and even harvesting yeast is not something I have tried I simply use a new yeast each time.
I will agree with the posts above that a bubbling airlock is not the only definitive sign of fermentation.
Temperature plays a piece, if you added wort that was too hot it could have killed your yeast, same can be said about fermentation temperatures, if this new batch is being kept at a colder temp that could slow things down.
The lead is very possible. There are easy ways to check if you have a leak. Press on the lid (if you're using a bucket) until it makes the water in the airlock rise, hold it there for a few seconds and see if the water level stays the same or if it starts lowering back down despite you holding it steady. If you have a leak, it's not a big deal. You can try to fix it of just leave it be since the CO2 blanket will keep from anything coming in as the CO2 leaks out.
But the sure way to tell is by hydrometer reading. If its not fermenting, add new yeast or yeast nutrient or both.
Hope this helps, cheers.