No and No
The outlet you are starting from has white on one side and black on the other side. Black to brass screw and white to the silver screw. Do not add more wires to the screws, use pigtails instead.
1. remove the outlet and make a short white and black pigtail about 6" long. Twist the 3 blacks together and add a wire nut, twist the 3 whites together and add a wire nut tape the nuts and re-install the outlet using the pigtails and don't forget to join all the grounds and the box and the outlet..
2. in the switch box, join the 2 white wires together with a wire nut. Each black wire from the switch gets a black, one from the other outlet and one to the new outlet, don't forget the grounds, green and bear.
3 in the new outlet, white to the silver side black to the brass side.
This unit will not work if the grounds are not hooked up.