It partly depends on how you define consciousness and self-awareness, and partly on how the Sims themselves are structured.
Definitions
I take the view that intelligence, consciousness and self-awareness are spectrums, not thresholds. We might set a threshold defining human-level intelligence, but even the Turing Test cannot escape the maxim that "man is the measure of all things [related to man]".
If you take the position that an amoeba is conscious because it perceives its environment and reacts, then why wouldn't a Sim also be conscious, albeit in a very limited way?
Sim™ Structure
The software architecture for a sim™ may also be a factor. If each sim™ is a discrete, self-contained program, then they would qualify for the basic level of consciousness defined above.
However, if each sim™ is merely a template of behaviors, with the decisions for all sims™ being made by a MCP (Master Control Program) then there is only a single, multi-cellular organism of the MCP that has consciousness in interacting with the Sims™ environment and making decisions.
Self Awareness of Sims™
Self-awareness is the hitch because it's highly unlikely either a sim™ or hypothetical MCP ever really regards itself.
Although a sim™ may be said to have a limited form of consciousness in interacting with its environment and making decisions, it seems unlikely the sim™ has any sense of self, or "me-ness".
Alternately, if the Sims™ is architected in such a way that that sims™ have goals which are evaluated in relation to other sims™, there might be a case that a given sim™ is self-aware in seeking to achieve objectives based on the, albeit limited, sim™ self.
I might think about self-awareness in relation to autonomous vehicles which constantly check their operational status and location in regard to other entities.
It seems to me that even sims™ are aware of their operational status (the "call of nature" is one example) and location in regard to other sims™ and objects.