Oh, filters....
I'm still not sure if I understand. The guy that's going to cut it out said he needs a path. Does he need the path to follow the lettering?
I assume that the letters aren't going to be cut out individually. So that means there will be some...I'm gonna call it plasic (vinyl?), because I don't know what it really is. So there will be some clear plasic in between the letters. Does he need the profile cutting line to closely follow the letters, but still have some clear vinyl in between? Or could he say cut out the whole thing as a rectangle?
Again assuming that he could cut out the rectangle without you drawing it for him, he must be asking for a cutting line that closely follows the letters, but without actually separating the letters? If that's correct, then here's the story.
Since it sounds like you've deleted (you said you didn't save it) the original, so you'll have to draw a new path. I'll do it in steps:
1 - Open Inkscape and import the PNG that you sent the cutter guy.
2 - Recreate the original text. Just the text, not the filters.
3 - Make it red, just for good contrast. Make it the same size, and move it directly over the imported PNG. You could make it partially transparent to help get it sized and lined up well, if necessary. (Normally, when you're first making the image, you would duplicate your original text, and not have to have the headache trying to get it lined up and sized properly. Because duplicating will automatically have it identical in size and space.)
4 - Do Path menu > Object to path.
5 - Object menu > Ungroup (or control bar button).
6 - If you did make it partially transparent, make it fully opaque again.
8 - Move it below the PNG. It will disappear, of course, so now you can make the PNG partially transparent.
9 - Using Alt + click, click you can select the new red text/path from below the PNG.
10 - Path menu > Outset. This will "grow" the new red text/path to where it closely follows the original text. And this will be the profile cutting line that you need. You may need to perform the Outset 2 or more times until the red letters start to touch each other.
11 - Once all the letters are touching each other, do Path menu > Union. This will change it from a bunch of balloon-like letters to a single path that closely follows the letters, but leaving them still connected.
12 - Make sure that the red letters are larger than the original at every place. If there are any places where the red letters aren't large enough, you can use the Node tool to drag a few nodes here and there.
I'm still not sure if the tennis ball dots are part of the font, or if you've drawn them in yourself. If they are part of the text, then you're done. Make the PNG opaque again, and save the file as SVG. Did you find out what file format the cutter guy needs? If he accepts SVG, you're golden! If not, we may still need to deal with a file conversion of some sort.
If the tennis ball dots are separately drawn, I'm thinking that you may need to do the process I described for each section of text (4 times). Then select all 4 and do Path menu > Union again. Judging by the screenshot you gave us, you probably won't need to do anything more. But if after this last Union, the red path does not enclose the tennis ball dots, you''ll have to do a very little node editing. Then again, make the PNG opaque again, and save as SVG.
Be sure to save regularly as you work, not just at the end

So that's how I would approach this. Other's might have (and I wouldn't be surprised) more clever ways to do this. But let us know if this works
