In the face of your denials, I reassert my statements.
If oxygen has 2 lone pairs and 2 bonds, none of which are double than O is sp3 hybridized just like how 0 lone pairs and 4 single bonds on carbon = sp3 hybridized.
Not necessarily. A fundamental difference between sp
3 carbon and oxygen (or nitrogen) is that a C with bonds to 4 other atoms or groups is constrained to be tetrahedral, because of the repulsion between the attached groups. Electrons can move around more freely, and it only needs a small adjustment of atomic positions for an sp
3 O or N to adopt an sp
2 configuration, with a lone pair in a p orbital available to overlap with a pi system. sp
3 may be more stable in isolation, but if sp
2 allows resonance stabilisation, then that will happen. (This also applies to C with 3 bonds; thus cyclopentadiene is not aromatic, but Cp
- is.)
The O has 2 lone pairs and 2 single bonds(thus 2 sigma bonds and 0 pi bonds) in the first molecule and is thus sp3 hybridized and so the first one is not aromatic
You can draw resonance structures (try it) in which one or other of the C-O bonds is double, so they have partial double-bond character.
1) there are 4 pi electrons which violates Huckels rule
and
2) the O is sp3 hybridized and thus the 5 membered ring will be bent at the O
There are 6 pi electrons (2 from the oxygen p orbital) and the molecule is aromatic. The oxygen is sp
2 hybridised and the ring is planar (an experimental fact).
The second one isn't aromatic either because again Huckels rule is violated.
This also is aromatic; there are again 6 pi electrons, two from the oxygen.
O HATES being positive
Let's not bring the pathetic fallacy into it.
It will likely pick up a proton and leave as water making you have cyclo-1,3-butadiene and acyclic 1,3-butadiene of which the cyclic form is not aromatic.
This is just nonsense; it makes no chemical sense.
Another possible thing the oxygen could do to get rid of the positive charge(and this is probably more likely since a +2 charge on O is even more unstable than a +1 charge on O.) is to have a hydroxide anion pick up the proton leaving the 2 electrons on the oxygen
That's more reasonable. But who said there were any hydroxides around? The question just asked whether the molecule was aromatic, not about what reactions it would undergo.
you get a cyclic ether(also know as epoxide) as the result.
An epoxide is a cyclic ether with a 3-membered ring (so called because it can be considered as the result of adding an O atom across a C=C bond). Other cyclic ethers are not called epoxides.
The bromine is meta to the carbonyl and para to the alkyl group which is the least sterically hindered position because if it was meta or ortho to the alkyl group or if it was ortho to the carbonyl it would have quite a bit of steric hinderance, especially if it was ortho to that dimethyl group.
True as far as it goes, but it's not all about steric hindrance (what about the position para to the carbonyl?) You have to consider the directing influence of substituents too.