dreed

The answers to your questions depend on which state you're in. But, most states have adopted the "Model Vehicle Code" to one degree or another, so state laws are somewhat uniform with respect to motor vehicles and drivers. My answers below are based on my knowledge of the states I've most recently lived in: California, Nevada and Washington.
First, your Danish driver license makes it legal for you to drive in the US up to the point you become a resident of a US state. At that point, you need to have a valid driver license from the state you are resident in. In other words: your Danish license is good as long as you are a tourist, but it is not valid once you move to the US. Fortunately, many states have a simplified driver license process for those who have held a valid license elsewhere, even internationally, so hopefully your state is one of them. Download the driver guide from your state's DMV website, read it once then go take the test. It's easy.
As for insurance, if you finance any part of buying a car, the dealer (on behalf of the lendor) will require proof of insurance before they allow you to drive the car off their lot. Insurance is generally required by state law anyway, so I recommend contacting an insurance agent and have his number programmed into your cell phone. If you make arrangements up-front, you may be able to call and get a policy issued on the spot once you settle on which car to buy.
So, where do you start? Here's my advice: (1) get a driver license in the state you become resident, (2) discuss your plan to purchase a car with an insurance agent and they will tell you the best way to proceed in your state, then (3) go buy your car. I am suggesting this order because it is likely you will not get insurance with a foreign driver license, and it is also likely that the dealer will not let you take the car without providing proof of insurance.
Remember - the laws on this can be a bit different from state to state, so the first place you should check is your state's DMV (department of motor vehicles) website.

The answers to your questions depend on which state you're in. But, most states have adopted the "Model Vehicle Code" to one degree or another, so state laws are somewhat uniform with respect to motor vehicles and drivers. My answers below are based on my knowledge of the states I've most recently lived in: California, Nevada and Washington.
First, your Danish driver license makes it legal for you to drive in the US up to the point you become a resident of a US state. At that point, you need to have a valid driver license from the state you are resident in. In other words: your Danish license is good as long as you are a tourist, but it is not valid once you move to the US. Fortunately, many states have a simplified driver license process for those who have held a valid license elsewhere, even internationally, so hopefully your state is one of them. Download the driver guide from your state's DMV website, read it once then go take the test. It's easy.
As for insurance, if you finance any part of buying a car, the dealer (on behalf of the lendor) will require proof of insurance before they allow you to drive the car off their lot. Insurance is generally required by state law anyway, so I recommend contacting an insurance agent and have his number programmed into your cell phone. If you make arrangements up-front, you may be able to call and get a policy issued on the spot once you settle on which car to buy.
So, where do you start? Here's my advice: (1) get a driver license in the state you become resident, (2) discuss your plan to purchase a car with an insurance agent and they will tell you the best way to proceed in your state, then (3) go buy your car. I am suggesting this order because it is likely you will not get insurance with a foreign driver license, and it is also likely that the dealer will not let you take the car without providing proof of insurance.
Remember - the laws on this can be a bit different from state to state, so the first place you should check is your state's DMV (department of motor vehicles) website.

If the NVC just received it on May 4th, you're expecting results too quickly. They can't process everyone the minute the petitions hit their door. It is definitely much too soon to panic or worry. Ours took about 15 days for NVC to process.
I know it doesn't seem like it, but the process is going to start moving really fast for you within the next week or so. For now, you should start getting your interview documents in order.

It looks like the G-325 has everything contained on the G-325A, with the addition of "City and Country of Birth" for Former Husbands or Wives. Hopefully, USCIS will just accept it, but you never know.
If it were me, I'd prepare G-325A for both petitioner and beneficiary with original signatures, then keep them in my file just in case I'm every asked about this issue.