There is no onboard router on any model of the Pi.
If the new router has MAC address enumeration or similar enabled, you'll need to specifically allow the Pi's WiFi adapter to connect to the router. That's done in the router's config program.
That said, the #1 reason--by FAR--for an unsuccessful connection to a wifi router is a typo in the SSID or password during setup...it must be exactly correct, including strict attention to upper/lower case.
You can reconfigure an image without having to re-flash the whole thing just by putting the SD card back into the PC reader and re-running the DStarConfig.exe program.
Bob (W6KD) Colorado Springs, CO D*STAR Hangouts: XRF555A (persistently linked to XRF002A) XRF720C (Colorado Front Range reflector)