Will close #5. To update to Django 5, django-q is updated and should be replaced by django-q2 instead. After running the migrations everything seems to work as expected. To update locally:

pip install Django==5.1.3
pip uninstall django-q
pip install django-q2
python manage.py migrate django_q

I did not have any postgres issues because I am running postgres 16.4. @Bachibouzouk Which version are you using? Apparently Django 5.0 still supports postgress >= 12, so we could downgrade to this if needed. Starting from 5.1, only postgres >= 13 is supported.