First off, welcome to the wonderful world of C2!
You could put a boolean instance variable on the player to keep up with which way it's going. call it "isleft" (or whatever you like).
on touch >>>
(subevent)-If player isleft = "true" >>> set isleft false AND start moving player right
----------------Else >>> set isleft true and start moving player left.
EDIT: oh, actually that won't work with the way you're doing the movement...
let me rewrite:
on touch >>>
(subevent)-If player isleft = "true" >>> set isleft false
----------------Else >>> set isleft true
(new event)
if player isleft=true >>> move left
else >>> move right.