As Sean points out, 1920x1080 is HD res for a screen aspect ratio of 16:9
A4 pare has an aspect ratio of 1.4142 : 1
If you print a 16:9 picture on 1.4:1 paper with Fit To Paper, you will get a white boarder on topn bottom or both sides.
For boarderless printing, you will need to match the aspect ratios of the picture n paper, or crop / resize the picture to the aspect ratio of the paper.
About using 200 gsm paper, before you buy, chech yr printer manual that it will handle such thick paper.
If your printer uses a Ucshaped paper feed (typical for paper fed via a drawer under the paper) it will probably not handle thicker than 180 gsm