French in Norway. Registration with the police and accommodation.

Hello,

I am French and have been in Norway since October. I would like to stay here as long as possible (I have sufficient funds and insurance). I have completed an application on the UDI website and have an appointment to register with the police on January 19.

I am currently staying in an Airbnb until January 28.

Can I already book my next accommodation for the following months, or should I wait because there is a possibility that I could be rejected by the police even though I have (in principle) the necessary documents?

I have done a lot of research, but I must admit that I have come across contradictory sources and information that is quite confusing at times.

If I am allowed to stay, will I be able to open bank and phone accounts in the country?

One last question (sorry, that's a lot): I understand that I can still drive my French car for a year before paying taxes or selling it. Is that true?

Thank you very much.