No internet despite router connection?

My router is an AVM 7360th I have a VDSL2 line with 100 Mbit.
In the router is shown that DSL and Internet work. Even when testing the connection in the router is everything i.o.

Until yesterday everything was fine.

My devices are all but no longer on the Internet.

Neither the hardwired, nor the W-Longeräte. In the router, however, the devices are all recognized correctly and the IP's match.
Wired devices: Notebook with win XP, PC with WIN7 and PC with WIN10

W-Lan devices: Samsung S7, Smart TV, PC with WIN7 and AVM Fritz USB W-Lan Stick and an Android Tablet

No updates or any other changes have been made. All devices work. With each of these devices, I can call the web interface of the Fritzbox. But none of the devices comes into the Internet although DHCP is active and the devices are all supplied with IP's and this is also correct in the device (network properties).

Until yesterday, everything went normal. The Fritzbox has already been disconnected from the mains and electricity for 20 minutes. Did not help, so I reset to factory settings. When setting up the connection to the provider was tested again and everything without problems. The log files also show no problems with the connection.

Provider is Thüringer Netkom, Fritzbox has Fritz.Os 6.30

Does somebody has any idea? Can it be a hardware defect? I've read something about a broken bridge but I can't imagine anything like that.

Check DNS server, eg. For example via nslookup
Otherwise, first check if your router is on the Internet. You must gradually eliminate possible sources of error

I understood that the provider provides the DNS. Can I also enter the gateway address of the Fritzbox so this works as DNS?

As a rule, a gateway also provides the DNS server (but also depends on the DHCP configuration). Try ping 1.1.1.1 in the command line.

If it does not work out, you'll need to eliminate incremental sources of error.

The video helps with the analysis

Thanks for the video.
Router has been rebooted and even reset to factory defaults.
-All devices have access and connection to the router. The router also displays the correct IP's. Displayed IP's are consistent with those on the terminals.
-Fest IP award I have also tried. I did not go either.
It is not due to the configurations of the terminals. I exclude that because there are different devices where no update or change was immediately before the emergence of the problem. The problem came suddenly from "today to tomorrow".

ACHJA… Invoice is paid.

Last night with service on the phone from ISP. He can measure the router, so it comes up to the router. Even a remote maintenance via "myfritz" works. What does not work is the automatic update search. 6.30 is the highest that goes well. Can't play but again for some reason.
I will try another router this evening.

The Mac address for the new router has already been deposited by the ISP. I gave last night.

6.3 is stone old. Does the router show if it has internet?

Yes, Internet and DSL are displayed green in the router. Even with the connection test everything is ok…

Did you go through the video? Ping direction internet goes?