Assuming I'm reading your prof's question correctly, I count 4 valid, aromatic resonance structures.
Be careful with hybridization of charged carbon atoms. Assume an sp3 carbon atom with 4 substituents. We would all say that it has a tetrahedral geometry. If you remove one of the substituents, but leave behind the lone pair of electrons - that is, if you make it a carbanion with 3 substituents and a full -1 charge (as in a deprotonation)- the carbon atom remains tetrahedral.
On the other had, if you remove one of the substituents and the lone pair of electrons leaves with the substutent - that is, if you make it a carbocation with 3 substituents and a full +1 charge - the carbon atom rehybridizes from an sp3 carbon atom to an sp2 carbon atom. This analysis is the same whether you start with an sp3 or an sp2 carbon atom.
That being said, look at your various carbocations and make sure you have identified the hybridization correctly for each.