It is not wrong to be worried or disappointed for not spending the New Year with pals or anyone close. This happens to many people and they let off go the anger and pain. There are other important holidays you can have fun and celebrate.
So sorry you had a bad holiday alone, poor thing... Not sure if this helps but as you get older this holiday becomes less and less of a big deal. Kinda the same old, same old, every year. I see the holiday as a great excuse to just chill and do nothing with nobody. Watch some TV, read, e-mail or call a friend or relatives, etc. You didn't miss anything. Really. : )
I know how you feel but, if you have self esteem you will realize that this is YOUR day to do anything you want...Sleep in, eat things you normally don't and treat yourself to something special to commemorate the day