Little Owl

Thanks Brian. I just remade the portion of one of the logos I had issues with using the pen tool & it looks clear now. I found some odd stuff happening in that it had somehow grouped a portion of the text to the image. Totally weird. 

Hi,
I created a logo for a client in designer, looks great in the PDF version, but all the pngs, jpgs or svgs I export look slightly jaggy.
I thought maybe it was the font I used, but the leaf graphic I drew in designer is also exhibiting the same issues. 
Any ideas how to fix this issue as I've never encountered this before - could it be associated with the latest update?
I'm using version 1.10.6.1665

Thanks for the helpful replies - much appreciated.
I tried out the different suggestions, but in the end found a quicker way by just playing about that suited the end result I needed.
After enlarging the image as above I created a duplicate of the image.
On one image I used new adjustment > levels> selected colour type as grey. I then increased the black level to enhance the image & reduced the white level to make the background white. I then applied a filter > sharpen> unsharp mask & played around with the settings  to sharpen it without getting to jaggy.
I then did the same with the duplicate but making it a tad lighter, cropped the image to leave just the left side flowers. Then used the erase tool to remove bits I didn't need & placed it over the other image, matching it up, grouped the lot & exported. I also used the erase tool to clean up a few spots on both images.
Probably totally unconventional but what ever works I'm good with.  
Image attached - what do you think?