What if you do not have a drivers license? You just get a fine?

A repeat offender would eventually be barred from any participation in traffic other than walking. Basically a form of restraining order, with the same limited effectivity.

Fortunately the law is still acknowledging that drunk cycling is much less bad than drunk driving (and often the only practical alternative besides sobriety), so you'd have to go pretty wild to ever get more than maybe a fine. Unfortunately, this view is increasingly under pressure from the kind of "enemy of the good" perfectionists who always ignore the big picture.

Same in the US

Depends on the state. In Washington(state) riding a bike while drunk is legal. The police can stop you an offer you a ride to your destination. If the drunk cyclist declines the offer, they're free to go unless the officer believes they are a hazard to the public, in which case the bicycle can be impounded if necessary. But the cyclist won't get a DUI for it.

That seems quite reasonable.