Yeast can be stressed in many ways - trying to ferment at temperatures that are not preferred by the strain of yeast you chose (too hot or too cold), fermenting a liquor that is deficient in nitrogen , deficient in organic nutrients the yeast needs to reproduce, allowing the yeast to autolyse (rupture and break apart and decompose). But none of those causes would self -evidently appear to explain your problem with hydrogen sulfide. My guess is this:
I have no idea how likely your cider was to fully ferment in five days. Insofar as you say that even when you placed the bottles in the fridge they were (over) carbonated that suggests to me that the yeast was still very active when you cooled the cider down and this low temperature resulted in not a cessation of fermentation but a stressful fermentation and hence the production of hydrogen sulfide.
I would leave your carboy to quietly ferment in its own time and not force the yeast to be a slave of the clock as if it were some kind of factory worker.
I would also be very careful around those bottles - from what you say they are over-pressurized with CO2 and are likely if they are plastic to swell up like balloons. If they are made of glass you likely made grenades. If you are going to bottle while the yeast is still actively fermenting then you really have no way of knowing with any certainty how many "volumes" of CO2 will be in those bottles - there may be far more pressure caused by the trapped CO2 for the bottles to remain intact. They will then explode. What you might do is very carefully open each bottle and allow the CO2 to escape.
If I were you I would not think about bottling any fermented drink until I was very confident that all the fermentable sugar had been converted into alcohol (and CO2) . I would then remove all the CO2 in the liquid and then add 1oz of sugar per gallon to carbonate. Realize, of course that cider ain't beer and beer contains proteins and it is the proteins that - all other things being equal - create the head (much like it is the protein in flour that traps the CO2 when you make bread ). Cider has no proteins (which is also why when you add yeast unlike beer the final gravity can fall to around .996 or lower (beer you might expect the final gravity to fall to around 1.010)) so even a fully carbonated cider will not have a head - there are no entangled protein chains to trap bubbles of CO2.
Others on this forum disagree but it seems to me that unless you use a non fermentable sugar (stevia, for example or lactose) to back sweeten your cider you need to choose - sparkling cider or sweet still cider. Sure you can pasteurize your cider: that is to say, add enough sugar to both carbonate AND sweeten but pasteurization destroys volatile flavor molecules and catching the cider at precisely the right time where it contains all the CO2 you want AND the sweetness you like is a bit of a crapshoot.... But hey! yer pays yer money and yer takes yer chance.
All that said, one other possibility is that the yeast you bought was already "damaged" and prone to stress. If this was a brand name yeast and you still have the package you might contact the company that produced the yeast and ask if anyone else using yeast from the same batch has complained with similar problems.