Image vectoring

We need an image vectoring specialist. You need to prepare the image for printing on a hoodie:
1) increase the resolution several times (for a seal 2000 pixels wide will be enough);
(2) increase the inscription (see para. Rice. C TK);
3) the points-brows of the seal to change places or make the same (now the far "further" eyebrow is larger than the near);
4) move the letter "t" in the word "Jacket" closer to "e" (now there is almost a space); and the letter "s" in "has" to lower slightly so that it does not much stand upwards, as it is now;
(5) there should be no contours around objects, as around the letters in example 1: if you zoom in, there is a noticeable green line.

Description of the attached files:
0: original image. You just need to show how it was originally.
1: already vectored and rasterized back image, but retat is not completely satisfied: round, oval and rounded elements (nose, eyes, eyebrows, blush, shadows) became with torn edges, which may look ugly in the end on clothes.
The fatty: just for example.