Head is throbbing (I have a cold too)?!

The pain and throbbing are coming from your sinuses, which are stuffed up and possibly
becoming infected from all the congestion. A sinus infection is a common side effect of
having a severe head cold or the flu.
You may also experience a tenderness around your sinuses from the pressure. The fact that
it gets worse depending on the position of your head confirms it is sinus congestion.

You can try a number of things to help:
An over-the-counter decongestant, such as tylenol sinus, which helps with sinus headache.
You may also try a decongestant nasal spray, which tends to open things up more quickly than
oral medications, but its effects are short lived.
Another old fashioned treatment (but it works), is to breathe in the steamy fumes from over a
bowl of hot water, which helps to open things up quickly. The key is to open your sinuses long
enough so that they can drain out and relieve the pressure. They better you can get things to
drain, the faster you will get over the sinus headache phase of your cold. This might include
lying in bed with your head raised, as opposed to flat on your back, whenever possible.

Your neck muscles are tight and pressing into your throat to make it feel sore. Tight neck muscles back up the wastes in your body and they often will fill your sinuses when they back up. That is also going to cause your head to throb as the things are backed up. Here's how to free up your neck muscles to get you relief for those things:
Neck
Put your hands alongside your head so your thumbs are on the front of the muscle under your ear and your fingers are on the back of the muscle behind your neck. Squeeze your thumb and fingers together and hold. Relax your body. When your fingers and thumb touch, about two minutes, slowly lower your head as far as you can, release the pressure but hold your neck lowered for another 30 seconds.
For best results relax your body first by taking a deep breath and exhaling then remain this relaxed.