Dear experts, in Norway, Sweden, and Finland, the hotel's parking lot is on another street. Do I need to pay for street parking first before checking in and then enter the parking lot ?

You can park at the roadside of the hotel entrance, where it does not block other vehicles.

The driver stays in the car, and the other person goes to check in.

You should ask the hotel. Generally, you can park temporarily in front of the hotel, and then park your car in the parking lot after checking in.