Center shapes / text

Hi, I have 2 little icons that are meant to be sent to a sticker printer soon. The images were initially done extremely basically using pdf, and then sent to a designer for him to vectorize, as well as make sure text & shape were centered and actually correct shapes (e.g. Image no.1 looks like the circles are not that circle, and also maybe not that centered on top of each other, and also text looks non centered as well. Image no 2 looks like the hexagons are actually not all the same proportions, and also the right internal white line is fatter than any other internal white line)). Your job: make sure those images have perfectly regular shapes (both circles being actual perfect circles, correctly centered on top of each other; for hexagons same thing perfect hexagons with all sides being same lenghth, perfectly centered on top of each other), and that text is centered in the middle of those shapes. I have uploaded the files sent by the graphic designer as well as the vectorised file for the ae diphtong. Let me know if there are any questions, Alex