First thing you're going to need to do is reinforce the support because the weight of a motor along with its torque is going to rip that thing out of the wall
Really? It only has to turn that latch (thankfully) not pull it.
second picture, upper left corner
that square 'box' has a cover over it holding the shade in place. the weight of the shade assembly, along with any movement forces from opening/closing/yanking on the shade are on that box. that box is held is by very small and insignificant screws in the majority of times. you could take it apart and have a look-see to find out what youre working with.
if the screws are decent sizes and in sufficient quantity, and they penetrate through the drywall into something sturdier than drywall, youre good to go. if the screws are undersized or held in place only into drywall, theyre going to fall out at some point with or without a motor. i dont know what type of motor you had in mind but all the ones i know of that are capable of producing the torque necessary to manipulate those blinds are heavy enough to bring the weight capacity specs of those brackets beyond their ability.