1) do you mean that in the first reaction, the second deprotonation by NaH wouldn't be the second alpha hydrogen? Is it because after the first deprotonation by BuLi, leaving a negative charge at the alpha position makes the remaining alpha hydrogen not acidic?
Yes, exactly.
but isn't the negative charge be delocalized right away to the carbonyl oxygen?
The first one is, but the second is not. After the first deprotonation, you form an anion which will occupy a p orbital to allow it to overlap with the pi system of the carbonyl - this is a requirement for resonance stabilisation. Removal of a second proton from the alpha position would leave a second anion occupying an sp
2 orbital - this would be orthogonal to the pi system (ie no overlap at all) and have no resonance stability. Alternatively, the bis-anion could rehybriside to sp
3 in which case both might overlap weakly. The main point though is that deprotonating at a negatively charged position is extremely difficult because it is already negatively charged.
2) if it's shared between the carbon and oxygen, then where would the electrophile EtI in the first reaction attach to? the carbon or the oxygen? i assume it's the oxygen because the oxygen is better at stabilizing the negative charge?
That's a good point to raise. Enolates can alkylate at O or C, but it can be controlled and usually enolates are used to form new C-C bonds. The alpha carbon of the enolate is the softer site of the two, and softer electrophiles (alkyl iodides being the classic example) will tend to react at C rather than O. Solvents that H-bond to O will also favour C-alkylation (eg, alcohols), as do harder counterions/chelating agents (such as Li
+).
3)I think that LDA will deprotonate the alcohol hydrogen on the second reaction since it's too bulky and woulnd't be able to take the alpha position even if it could.
First off, it's not an alcohol it's a carboxylic
acid. It is about one hundred million million times more acidic than the alpha position - this is why it is deprotonated first (BuLi). By the time it sees LDA there won't be any OH bonds left.
but for the first reaction, the second deprotonation by NaH isn't as bulky as LDA, so why doesn't it take the second alpha hydrogen?
After the first deprotonation, the second alpha H is not the most acidic in the molecule
4)for the second reaction, then do you mean the first deprotonation will take the OH hydrogen?
Yes
but then the second deprotonation by LDA it won't have any more protons to take since it's too bulky to take any non terminal protons?
I don't think it is too bulky, LDA is a pretty common reagent for generating enolates - even non-terminal ones. I could be wrong on that one though. LDA can deprotonate Ph
3CH, and that proton is more hindered than the alpha proton in this system.