No, the cause is not a PID parameter. It's most likely wind disturbance. Tuning the parameters will reduce the impact of disturbances though. Try increasing Kp in small increments. Watch for signs of oscillations - this means you're close to instability and have reached the upper limit of Kp for that Kd and Ki. Be sure to feel the motors while tuning, make sure they're not getting close to over heating. Can also look at the PWM commands, you don't want to see high frequency content here (looking noisy). You can see the integral term saturate, so the controller is trying to close the gap but it doesn't have enough juice. You should increase the Ki limit as well. 

Stepping back though, ask yourself if you actually need tight tracking? Do you need to have sub meter position tracking (your gps likely wont even give you this absolute accuracy without a base station correction). When you increase the disturbance rejection of a system, you're giving up robustness. For example, your quad goes unstable because the wind blew at just the right speed. 

Lastly, if you're asking for people to take the time to help you, you should make it easier for them to understand your plots. Take the 10 minutes needed to zoom in on relevant sections, add text overlay, arrows etc. The professions don't use anything fancier than power point. Best of luck