Great to meet another NC investor, lets unpack this a bit.
1) This answer may bleed over into other questions, but you should be financing this property. Raleigh is an expensive market, comparatively to other parts of NC and most people done have $300k sitting in cash to purchase outright, and even if you did why put all your eggs in one basket? if you can leverage the bank, do so. Interest rates are extremely low and make it affordable to use a bank for 75-80% of purchase. Using a bank will allow you to get an appraisal, inspection and a due diligence period to get all of this done. I would also recommend finding a real estate agent to represent you, help you with the numbers to see how the house stacks in value/and rents to others in the neighborhood.
2) there is always a risk for any tenant not being able to pay, and sure COVID may increase that risk but in my opinion not to the point of it not being worth it to buy investment properties. Screen tenants who you know have a steady job (maybe dual income) so you can mitigate your risk. It is your house, you can choose the best tenant that fits your needs to produce the lowest risk of non-payment.
3) Im not all too familiar with Raleigh, but I know compared to Onslow County, it is more expensive. However, I will go on a limb here and say they also command higher rents. See what similar houses are renting for in the area, check Zillow, call property management companies, but ultimately get a real estate agent who can build and show you the reports.
4) Similar to answer (2) but MOST landlords are working with tenants to get through COVID. If for whatever reason you have a tenant impacted by COVID and cant pay rent, there are other things you can do such as payment plans. I wouldn't evict a tenant for not being able to pay, at the end of the day I have enough reserves to cover the mortgage if need be. Like I said earlier, you can do your best to mitigate this when screening for a tenant.
5) Answered in (1), depending on the condition of the house, and if you qualify for a mortgage, I would leverage the bank. You CAN pay cash, do repairs and then get a mortgage, possibly pulling out more capital then you put in. Personally I think you set yourself up for increased risk when you put that much capital into one house. If the home just needs some cosmetic repairs, I would purchase with a mortgage and then make the repairs, still leaving you with capital in reserves and maybe enough to snag another property.
Best of Luck!