@Wende2
I find the Airbnb notification system super glitchy and I've had a lot of guests tell me they don't get them either. I do get some notifications, but not all of them and not always on time.
I also have everything turned on (push notifications on the App, text messages and emails). While the emails come through, the push notifications and texts are extremely erratic.
Most often I do not get the first notification RE a booking request or enquiry (only the email) at all. If I miss the message somehow (i.e. the guest sent it late evening and I forgot to check my account/emails on the off chance before going to bed) I will get notifications reminding me to respond 12 hours after the request/enquiry. So, the notifications are pretty useless. I instead make a point of checking myself last thing and first thing.
After that, I tend to get most of the messages, but sometimes there is a time delay, i.e. I've already responded by the time the notification comes through.
I have reported this to Airbnb numerous times but they just ignore me. I've been told it must be my phone and to delete and reload the App. This doesn't make any difference. Anyway, I have had three phones (Samsung, iPhone and Huawei) since I started hosting and have always had issues with notifications. Also, that doesn't explain the lack of text messages, which I assume have nothing to do with the App.
Last time I reported it to Airbnb, which was recently, they just ignored me.
As you are getting no notifications at all, you could try reinstalling the App. Perhaps it will work. If not, you could try contacting Airbnb, but as I've had no luck with that either, I've just learnt not to rely on the notifications at all.