The word Easter is not in the bible. That word is a mistranslation from the word for the fertility goddess 'Ishtar' whom you worship!
If this is the origin of Easter, why is the name only used in English and German (where it is Ostern), two closely related languages rather distant from Mesopotamia, while in most other languages (even Dutch and a few German dialects), the holyday’s name is derived from Pesach (Passover), the Jewish feast during which the story of Jesu matyrium is set (by the way, the Gospels actually differ about *which* week of Passover these events take place…)? Even claiming that it is actually a celebration of a goddess that is only attested from one forgery that was written after her postulation is a stronger argument. But really, it’s just a Germanic word for dawn (notice that East/Osten (etc) is also the Germanic name of the cardinal direction where the Sun rises).
Both Easter eggs and Easter Bunny actually originate well into the modern era, long after Christianisation. And even if there were parallels with pre-Christian customs, really, there is no need for a conspiracy for a culture’s seasonal feast to share elements with a feast at a similar date of their ancestors’, since it is the same time of the year, the same nature and the same culture, so people will either recontextualise the seasonal customs to fit the new religion or even reinvent it independently, because you will still have the same seasonal things to celebrate and to celebrate with!