Okay @Quigon89 I wrote those in a set order as that would be how to check things.
Basically, if the iD network was now showing on your phone this means your old service has been deactivated.
In your case the old one is still working (granted it can for up to 24 hours after your new service is working, but more often it dies first).
Restarting your phone on the new service can prompt the system to update, a kinda kick it into life, with the old service still enabled this probably isn’t going to work then.
Once the iD network is working on your phone the provisional number allocated to the SIM/eSIM can be retained by the phone, thus after the service goes live and the wrong number is showing that link often fixes this too.
You could try ejecting the old SIM and just leave the iD one in too. Some do it that way and others wait for the old service to show ‘no network’ (or words similar) before putting the new SIM in.
Sadly I cannot help expedite the port, I’m merely a customer. But sometimes the PAC file from your old provider can take a while to migrate to the new provider. Live chat might be able to clarify this:
iD’s Live Chat team are available 9am - 8pm Monday to Friday, and 9am - 6pm Saturday, Sunday, and Bank Holidays.
You can access Live Chat here: www.idmobile.co.uk/live-chat.
(it might be worth starting the chat with either speak to person or talk to person to bypass their automated chat bot - obviously this is a typing format you don’t actually speak)
Let us know how you get on