As Shawnie posted your cycle was never completed before you added the fish but I think another reason for your spike right now, not just counting the uncycled tank but for the fact you lost a lot of your growing beneficial bacteria that was on the filter media when you changed it out.
Its a good idea to only rinse the filter media out in used tank water but only when it actually looks really really dirty, no need to buy more unless its really falling apart. Everyone has their own opinion on when it should be changed out, but for myself, I dont rinse out the media for months at a time. I hate mini cycles!
