how can I make a navigation bar with Jalbum that looks similar to the current one?
This is the problem. You want to make a new page that looks like the old one, but that's not possible with most jAlbum skins. Laza has a new skin in beta testing that includes a folder menu on the left, which might work.
But even most commercial sites are no longer using vertical menus, and it's because of mobile devices. On a phone, that kind of menu is often a disaster. It takes up too much space, can't adapt to the size of the display, and so on.
Looking at your site, I think I would redesign it as an "album of albums," and forget about the text menu on the side. Look at one of my skin demo pages, for example, like https://jgromit.com/gromit/index.html. There are nine albums there - the top level is an "album of albums," created with jAlbum. It works on a display of almost any size, and is HTML5 compliant. Each of the nine albums has a link back to the home page.