If you can find any tiger balm (or white monkey holding peach balm), try (strongly) massaging some on your chest, neck, throat, and back immediately before going to sleep. The fumes should help clear up your nasal passages as well as help with the coughs. Both types of balm contain camphor and menthol, but seemingly in higher quantity than Vick's Vapor rub or Mentholatum ointment, as well as a couple other ingredients that also help like eucalyptus oil.
The trick though is to make sure you go to sleep immediately after applying it so you can fully breath in the fumes under your blanket. Personally, I prefer the monkey balm since that's what I'm more use to, but tiger balm is probably easier to find even in non-Asian drug stores. My local CVS sells tiger balm for about $6.50 for a .63 oz bottle since it's also good for sore muscles.
If you're feeling adventurous, trying using a process called "coining" to apply the balm. Basically, you scoop up some balm using a coin and you use the coin to massage the balm in downward diagonal lines along each side of your chest--about 3 or 4 lines on each side. Use enough pressure that you'll be leaving red bruise marks across your body and drag the coin at an angle so you'd leave some balm on the body as you're moving the coin across the body. For your back, you'll need help from a friend. Have them use the coin to massage a vertical line down your spine from below your neck to your lower back and a similar line on each side of your spine about one inch away from the spine. Then draw downward diagonal lines on each side of the two outward vertical lines from the top of your back to your lower hip. Again, use enough pressure that you'd leave red bruise marks--the process can be painful. You can also "coin" vertical lines around your neck.
For upper sinus infection I've found dipping a q-tip in eucalyptus oil and swabbing the inside of my nostrils at least twice a day helps. I breathe through my mouth after application for about a minute or two so the oil can float upward a bit to hit any spots I can't reach safely and then I breathe the stuff in. Eucalyptus oil is an antiseptic, so I guess cleaning out my nostril with the stuff helps kills the germs causing the infection. Throat infection--gargle with a mixture of water and eucalyptus oil (and tea tree oil if I have any around). Be careful not to swallow as eucalyptus oil is toxic if taken internally in large quantity (tea tree oil also).
