Colds
Even in this day and age there is still no magic cure for the common cold. Go to bed, take plenty of drinks. It is probably best to stay at home to avoid spreading your cold to others. Take it easy and rest if possible. Keep warm, and keep the atmosphere moist. Drink plenty of fluids, as you will lose a lot through mucus production and possibly perspiration. Avoid smoking if possible, as it will further irritate the throat and the lining of the nose.
Take aspirin or paracetamol as per the dosage.
Nosebleeds
If you are having a nosebleed you should:
Sit down and firmly pinch the soft part of your nasal cavity just above your nostrils for 10 minutes, lean forward and breathe through your mouth. Leaning forward drains the blood down your nose instead of down the back of your throat, maintain the pressure on your nose for 15 minutes (time this on the clock) in order for the blood to clot. Place a covered ice pack on your cheek to help soothe the area, the bleeding should stop and not start again unless your nose is knocked or picked, and avoid blowing your nose and strenuous activity for at least 12 hours after a nosebleed. Avoid hot drinks for a few hours after that. Try also not to wipe your nose too much, or to sneeze.
If the bleeding persists, consult your doctor.