Motor sizing for modelling

Im working on a headrest for a car that will electrically adjust up and down and have drawn up my plans. it now comes to the important questions, such as what motor to use. Ive been looking at motor sizing online but not found anything particularly helpful as im left with gaps and questions. i want a motor with a gear to raise and lower the arm of the headrest.

lets say:
m=1kg,
r of gear=0.03m,
t to max height=5s,
max height=1m,
gravity=9.81
(not my planned figures but random as id like to run the calculations myself)

What should my motor speed, load torque, inertia, stall torque, no load speed, armature inductance ect.?

if anyone knows the correct steps to go about this and can use my example values to explain or knows of a good link i would be grateful