No keyboard after factory reset. Can't install keyboard on phone with bluetooth, google play, sd card, etc
You just created a nice chicken-and-egg problem: to install a keyboard via the playstore, you need to configure your Google account on the device first. To do that, you need a keyboard. Note: never delete the (last) keyboard app from the system apps; a factory-reset removes all user apps, so if there is no keyboard app as system app...

Here's what you can do -- provided you've got some keyboard as .apk file:


enable USB Debugging on your device
use adb install keyboard.apk to install the keyboard app


If you don't have ADB installed on your computer, either install the Android SDK -- or see Is there a minimal installation of ADB? for an "ADB lite" variant.