Absolutely! I know in some places like California it was impossible to get one pre-covid. But in another places they'll take you! Check for New Grad Residency programs as well. They are a lot more common in specialty areas.
Yes, absolutely! There's a shortage of nurses worldwide. Put your resume out there, and recruiters will find you.
Yes, look for job posting that say NEW Grad and the department
Yes, the hospital is always welcoming new RNs.
Definitely! The surest way is through a nurse residency program, I got accepted into every hospital I applied to as a new grad RN. The toughest choice was picking out the one I would work at.