Question about Duplicate Address Detection with VLANS? Consider the case of a Router-on-a-Stick topology with multiple vlan tags, when a new computer joins the network. Will the DAD Neighbor Solicitation message be tagged with a VLAN? Will all the computers in the network receive one even with the different VLAN Tag? Another scenario, let say there are no Router-on-a-Stick or inter-vlan, when a computer asks for an address will everyone still receive an Neighbor Solicitation, or just the computers in the same VLAN?

Everything you're talking about is scoped by the L2 VLAN. When servers communicate with the router or other servers, they will be doing so with packets/frames that will only be seen in the VLAN that they're sent on. The only way packets/frames can cross from the original VLAN to a different VLAN is via the router.

From the router's perspective, all the data mentioned with be tagged with the appropriate VLAN tag. The switch is adding the tag to the data from your servers depending on the VLAN assignment on the port. Since the router is Router-on-a-stick (802.1q trunk), it has to be able to differentiate traffic between different VLANs. The only way it can do that is with the VLAN tag that was added by the switch. Any responses are also tagged with the appropriate VLAN tag before sending across the trunk back to the switch.