Actually, I would advise against learning full PLL at this point. I'd work on your F2L until you're at least sub 60. If I were you I wouldn't start learning full PLL until I was at least sub 40 but that's just me. F2L is more important imo.
I strongly disagree, I learned nearly full PLL started at about 75 seconds, it dramatically reduced my times, my guess is because
it helped me understand the cube a little more. And I say nearly full PLL cuz I'm still learning it lol.
Mindlessly executing algorithms helps you understand the cube? Or do you actually watch where things are moving and learn from it? Most algorithms aren't intuitive and won't help you understand anything about the cube.
OP: I definitely agree that you should practice more. But make sure it's focused practice.
Don't just mindlessly solve your cube 100 times; it would be much more effective to 10 solves where you're focusing on what you're doing and what you're improving.
Also, make sure you're using some good fingertricks. Bad ones can screw over your times, so watch some faster cubers and see what their hands are doing.