Welcome to the forum!
Actually you can attach an SVG file, and when we open it, it will contain that font, even though we don't have it installed. At least I've seen this happen before. We would not be able to use it in a different file unless we install it. But we should be able to see it in your file. (As far as I understand, this is a new feature in Inkscape!)
From your screenshot, it looks like you should be able to extend the text box upwards, and get most of design. But I see that some parts extend below some border (not sure what it is, at the moment).
So you're saying this is only happening when you zoom in? I can't speak for others, but I would need to see the SVG file.