Battling to Reach Dracula
If a Hunter fights an Agent in the same location
as Dracula and he defeats the Agent, he
then begins a battle against Dracula. However,
if the Hunter is defeated or flees from combat
with the Agent (the combat finishes with
an End result), his turn is over and he cannot
face Dracula that turn.
Rules say that 'his turn is over' if he doesn't defeat the agent--so his turn is over meaning he wouldn't face any other encounters or Dracula. This seems pretty clear to me.
As to the encounter staying, I'd say this:
End – One of the combatants
escapes the battle. The combat ends
immediately, although it can be started again
during the next turn.
certainly implies that the encounter remains or how would you be able to fight him next turn. There may be something better in the rules as well but this is what I quickly found.