The oak cabinet does indeed date from the late 1800s to early 1900s (probably in the 1890-1910 period), serpentine front, and the frieze carving certainly makes it a higher end cabinet of the period. I suppose value would depend on your region, but I would guess the $2000-$2500 area if it's as good as it looks to be in the pictures.
The other piece looks to be more of an entrance foyer table. I had a very similar table some years ago but it was a "pier" table as it had a mirror on the back bottom (supposedly for checking out one's petticoat or something
. It's Empire design and dates from 1830-1850 I'd say. Nice mahoghany veneer. Looking at it though, I just get the feeling that something is missing (perhaps a small frieze across the top?). As is, probably $500 or so with the mirror.