Yes you will need to contact your local Archicad support people - the ones you bought your licence from.
You should also be able to start Archicad with an 'emergency' license - I think this will tide you over for about 5 days while you contact your support.
One of the forum moderators.
Versions 6.5 to 25
Dell XPS- i7-6700 @ 3.4Ghz, 16GB ram, GeForce GTX 960 (2GB), Windows 10
Dell Precision 3510 - i7 6820HQ @ 2.70GHz, 16GB RAM, AMD FirePro W5130M, Windows 10