Sounds like you have two issues that are not related going on.
Leaking wax ring, and leaking flapper or the ball cock is not working correctly.
If the tanks not filling then it's the ball cock. Just replace it with a new Fliud Master valve.
To check the flapper just but some red food coloring in the tank. If it shows up in the bowl with out flushing the toilet it's the flapper or the flapper seat.
That wax ring needs to be changed ASAP. A ring is about $5.00. a whole new floor is thousands.