"It MUST exist if I perceive it, but it may or may not exist if I do not perceive it."
If we also assume that "I"/"the self" is an "it" - ie it is a physically explainable phenomena, we can say:
"I Must exist if I perceive I(myself), but I may or may not also exist if I do not perceive I(myself)".
for your "self" to exist without perceiving one's "self" is a pretty major problem.
So by this regard, either my consciousness is not an "It".
things do not exist unless I perceive them.
Note: By 'self' I'm not talking about your physical shell, but your consciousness, the "you" who is 'driving' the body.