please show a full screenshot of your Ae interface. see if this tutorial made by my friend Rick Gerard helps:
when i click and drag its not curving it's just moves with me. and as you can see in the screenshot the point handles are not visible. its curves but harshly i can't smooth it.
you are in RotoBezier mode look here
this means Ae will set the curves automatically and not work with handles - great feature for rotoscoping round shapes ( creating the path works similarly to the Curvature pen in Ps or Ai). you can set the tension of a vertex if you wish by holding the Alt key and moving the cursor (when the pen tool is active) or Ctrl+Alt (when selection tool is active).
if you want bezier handles on an existing RotoBezier path you should right click on one of the vertices, go to "mask and shape path" and uncheck "RotoBezier".if it's a new path then before you draw it make sure it's unchecked in the tools menu when the pen tool is active.
thank you sooo much you
Indeed. Adobe's AE tutorial does not mention deselecting RotoBezier at right of tools. It should. Deselect that, and the tweaking handles will be there for you to control.