I was wondering if there would be any problems if I added a list inside a H1 heading:
To answer your original question, no, that doesn't look like a sane thing to do with your markup, and even if it were technically valid (which I don't believe it is) I wouldn't advise doing it.
As for SEO, h1
is used to some degree in search, though I believe it's not as important as the
element. However, if your page doesn't have a heading, semantically-speaking, I certainly wouldn't crowbar one in just to try and improve rankings. Put that "current page" text in the
, if appropriate, make the breadcrumb list a normal breadcrumb list, and don't bother with the h1 if you don't need it.