1 3/4HP will not resaw 13" of hardwood, at least not well, regardless of stated capacity. If you think you want to resaw that much, you need a bigger motor. That said, it's unlikely you need to resaw that much - unless you are also buying a 13" jointer and a 13" planer.
I have a 1 3/4HP Laguna. I am able to resaw ~6" of oak using the Laguna resaw blade. Even that is slow and I wouldn't try to push it any harder. I wish I'd bought the 2 1/2 HP 220V version, but it wasn't a quick option at the time and I needed it in a hurry. But I do like it - it is way better than my old Grizzly.
The general advice I'd give is to pick the max width you want to mill, and build you shop around that. That is typically dictated by the size of your jointer as those are typically the smallest tool. When I bought my bandsaw, I had a 6" jointer, so it was plenty. And really, with very few exceptions, there is not a lot of reason to work with wood wider than 6-8" as it has a tendency to warp too much. For wider, you are better off gluing smaller pieces together, or veneering plywood.
The Jet is lacking (at least) two features of the Laguna which to me are worth the price difference*. The first is the Laguna has ceramic blade guides which are much nicer. The second is that the Laguna has a pedal braking system. That might not seem like a big deal, until you stand there waiting for the saw to slowly slow down after each use.
Laguna stuff goes on sale as often as Jet, so it will be discounted soon enough. There is also a new Hammer in your price range: https://us.feldershop.com/en-US/en-US/en-US/Sawing/Machines/Bandsaw-Hammer-N2-35.html
* as a general rule, tools are the one place where economic laws seem to actually apply. If one tool costs more than another, there is almost always a good reason for it.