Nose bleeds are common, especially when the nasal membranes are inflamed, as they are with infection. Most virus infections resolve in a week or so, the flu somewhat longer. If you continue to raise blood from your nose or throat, after the cold/flu symptoms have resolved, you should see a doctor to be examined.
I had the EXACT same symptoms this weekend, it must be some bug going around, once I blew that same **** outta my nose, almost immediately my throat wasn't dry or burning nearly as much anymore and I'm almost feeling 100% better now, hope you had the same results because the other day was just miserable for me as well