Not neccesarily wrong... but I find it unlikely that the tank was cycled. Often, on here, we will recommend fish keepers do a fishless cycle. This involves adding ammonia artificially, pref from a bottle so it's a measured amount, but equally it can be done with rotting fish food... dead prawns etc. Pretty much anything that gives off ammonia that isn't a living thing.
Thing is it usually takes around 6-8 weeks for the bacterial colonies to develop enough to sustain fish without exposing them to toxins like ammonia and nitrite.
Now you 'may' have been cycled enough after 3 weeks to have put fish in and them never have been exposed to anything. But equally they might have been... and if the levels were low enough then it wouldn't neccesarily kill them outright. Often we find fish that have survived a fish-in cycle (especially an un monitored fish in cycle), don't have the lifespan that they should have.
Often people come on here 3-6months after setting their tank up saying 'My fish are dying one by one and I don't know why'. I mean you're 11 months down the line so I do think it's more likely that there is probably some sort of infection/disease to treat. But it's worth thinking about.
Your nitrite is a bit high, particularly for a tank that should be fully cycled. I suggest you test daily until the nitrite reads 0. That way if it creeps up (above 0.25ppm) you will know that there is something wrong and be able to do a water change before it affects the fish.
You might find it beneficial to read the cycling topics listed in my sig... just to get yourself aquainted with cycling in general. You'll then understand exactly why I said you can move the fish straight into the new tank when it arrives (with all the 125's filter media), rather than your lfs which suggested it'd take ages...
Edit: Oh and just to add that cycling is a relative term... cycled just means the bacterial colony you have are able to sustain YOUR number/size of fish + the amount that you feed. That's why I said you 'may' have been cycled enough for the first few fish. But it's not a definite.