I do that when I install a new wax ring . Also buy the one with the "plastic funnel" in the center. They're usually a bit more expensive but seem to last better .
For a clogged toilet some people will pour a whole large pot of boiling water in the toilet bowl. This can warm the wax enough to cause some seperation from the base & it will then have a small leak . Not too much of a problem on a cement floor but can cause the tiles around a toilet to start loosening. Some odor also. If the floor is wood a slow rot is the result . Usually detected too late & a major floor repair.
@ DoMiN8ToR , I forgot to add if you're not a DIY type then call a plumber .
The "spring" was probably some version of a "snake" like I posted to be used with an electric drill or a manual short snake like olyteddy posted.
I'm not sure what the pump was. Suction pump or pressure pump ?
If pressure did it connect drain bladder like I posted the link to ?
Or was it an air pressure pump ?