TK risks...and quick and dirty OP pressure point note
In combat, and also under urban controlled circumstances, a proper tourniquet (not a piece of lamp cord) if properly applied and promptly delivered to definitive care, is not as injurious as we were told they were.
Why were we told this? Historically in real life, TK use has been with improvised cords, twisted with a windlass, often misplaced, often out in the sticks or the boonies (delayed transport), and were mis-applied, sometimes to pt's with injuries not calling for them. The resultant injuries and unnecessary use was a backlash against teaching or using TK's. Now we are swinging the other way, and are about to go past the point of approriate use and into the "DANGER, Will Robinson!" zone of free-for-all use.
To stop life threatening bleeding, or buy time when they are both bleeding and have other pressing injuries, use a proper TK properly. Usually, you can stop the bleeding by properly bandaging and compressing the site. A pressure point application can buy you the time for the TK, or slow bleeding where a TK or pressure dressing is not going to work (i.e., groin GSW with Hail Mary attempt to compress the descending aorta with your knee). In cases of delayed transport or long transport time, know your protocols, but generically realize that the pt will be experiencing injury from your TK, which was balanced by potential loss of life.
OP, pressure points: usually on flexor surface of joints, running next to a nerve usually ("painful and pulsating"). Don' try that aorta deal, it probably doesn't work.