Then here is what I suggest you do. After it rains and the sun comes out go up on the roof and watch the water evaporate off the roof. You can help this along with a broom or squeegee if you want. As the roof is nearly dry start looking at all the remaining wet spots. Assuming you have insulation beneath the roof membrane, the insulation will retain moisture and as the sun dries out the roof it will draw the moisture out from any holes in the roof membrane. So, any holes, burns, cuts, etc. that have compromised the watertight integrity of the roof, will remain wet as the rest of the roof dries.
Now, if you can’t find a wet spot around a hole, then you are probably looking at a leak around one of the screen-wall (fence) penetrations, or along the roof perimeter (edge or cupola wall).
If you want to, you could also water test your roof with a hose. Run water on the roof until the leak shows up inside, then turn off the hose and look for the source. Tip: Always start low and work your way up. In other words, test the roof membrane first, then slowly work your way up walls, and penetrations. Also, it generally will take some time to make it leak, but you would know best based on you experience with rain storms and how long it takes before the leak shows up inside. Warning: If it takes several hours to show up, I suggest in your case that you wait for a rain storm rather than performing a water test.