Have you tried looking at Settings/Messages/Text Message Forwarding (on iPhone) to check that iPad has been allowed to send/receive - if it hasn't select and try (you should get a code popup to enter).
If it has go back to Settings/Messages and turn off iMessage slider (at top) and restart the iPhone. You might need to do same on iPad. Once both devices have restarted wait a couple of minutes and go back and turn iMessages back on for iPhone then iPad (to sign back in), then check Text Message Forwarding again to enable for iPad, complete the code pop up prompt.
ps. This post may also help iMessages aren't syncing between MacBook and iphone