You can't and you shouldn't pause the BrodcastReceiver neither postDelayed to a Handler();
You shouldn't stop it because that thread needs to do other stuff, so don't block it because it's a bad design.
and you can't postDelay because from the docs:
Once you return from onReceive(), the BroadcastReceiver is no longer
active, and its hosting process is only as important as any other
application components that are running in it. This is especially
important because if that process was only hosting the
BroadcastReceiver (a common case for applications that the user has
never or not recently interacted with), then upon returning from
onReceive() the system will consider its process to be empty and
aggressively kill it so that resources are available for other more
important processes.
that means that the moment it returns from onReceive() all this will likely be killed very fast.
If you want something to happen some time after the broadcast you can start a service, and that service wait the amount of time, or if the amount of time you want to wait is longer than a few seconds, you should just put the launch of this service in the AlarmManager and let the AlarmManager launch the service for you.