Yes, the Cisco Business 110 Series CBS110-16T switch can be mounted on a 19-inch rack. The switch is designed to be rack-mountable, and it fits into a 2U rack space.
No, no vlans. For a layer 2 switch with vlan function Cisco CBS220-8T-E-2G. Or even higher for an L3 with IP function Sg350, there is an Occasion on sale. I have the same one. Super part.