This link indicates the United Parcel Service (UPS) observes New Year's Eve as a UPS holiday, with only delivery of air and international packages. For New Year's Day, another UPS holiday, they will only deliver parcels sent using UPS Express Critical service.
UPS Next Day Air Early A.M.
UPS Next Day Air
UPS Next Day Air Saver
UPS 2nd Day Air A.M.
UPS 2nd Day Air
http://www.ups.com/content/us/en/resourc...
No, not normally. You can order "Emergency Shipping" from DHL and some others that costs over $100 but if you didn't do that then the answer is no.
no shipping company works on NY day
No, not in Northern Virginia at least.
well the only that would be delivering would the USPS
delivering express mail