Low Res 5x3 logo need High Res help getting it to 24x18

[Dino]

Hello,
l would really appreciate some help since I am coming to a deadline for printing some material. My problem seems to me like it should be quite eas, I have come close to a sufficient solution on my own but still not quite good enough resolution to print 24"x18" signs. In any case my issue is that I have an old design file of mine for a 5"x3" sticker with a logo on it as seen. When I try to enlarge it to the 24"x18" size the edges are way too pixelated. I have tried different selection techniques as well as refining the edges but no luck to make a high res version as yet. It's a rather simple shape and frankly I don't even care if it is redrawn to match at high res. In any case here is a copy of the logo in its native size on a 24x18 photoshop canvas. There is an image and an attachment Photoshop file, I would greatly appreciate it if someone can download the photoshop file and repost it with their efforts.
Thanks,
Dino
View attachment 24x18 canvas with low res hook.psd

 

[ALB68]

Dino,
Go to https://www.dropbox.com/s/v1xz4lhslsqnbb0/logovector.pdf?dl=0
It is now a vector, make it as big as you like,

 

[Dino]

Awesome! It is just what I needed. Thanks so much for your assistance.

 

[Strahan]

Is making that a vector something easily done via some sort of conversion process or do you just have to redraw it?

 

[MikeMc]

Needs to be redrawn in AI , the original jagged edges are because it was NOT a vector file

 

[ALB68]

Opened it in PS. I cropped it down to just encompass the the little image. Saved is as a new PSD and then placed it in Ai. Used Image Trace set to High Fidelity Photo, Black and White. Then Expand. I increased the size in Ai and saved it as a PDF to the dropbox.