They are all correct, but mean different things.
"Doesn't seem" means that a person isn't acting in a way that would indicate something is true.
"Seems not to" is stronger and means that the person is acting in a way that that indicates something is not true.
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He doesn't seem to love her.
It doesn't seem that he loves her.
same as - By the way he acts, I'm not sure if he loves her.
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He seems not to love her.
It seems that he doesn't love her.
same as - By the way he acts, I think he does not love her.