thank your for your insight. By the way, what do you mean when you mention that my picture shows a 4-carbon chain not 3?
In your mechanism, when you show the positive charge. If you count the carbons, there are four (you go down, up, down, up, and then the positive charge). It should be down, up, down, then draw the positive charge.
and oh for question 1, the final product has been given to me, it is the one on the right. So i was trying to draw the mechanism that looks reasonable for that pathway. can you be a little bit specific? sorry i'm kind of slow.
Right, so you need to draw an SN2 mechanism to arrive at that compound. So your first step is correct, protonating oxygen. Then, since it's SN2 you need to perform a concerted mechanism, and have the nucleophile attack and then kick out the protonated OH. Also, you'll want to attack from the most nucleophilic site, which is the site on the right (which would then give you the correct compound).
and for question 2, since it is asked for SN2 reaction, i was thinking that the Br is the Nu and it would leave when the OH from NaOH does the backside attack, but then i'm kind of unsure about how the rxn continues.
Right, so you have two possible OH groups, correct? Can you draw out the possible intramolecular and the intermolecular reaction/mechanism and post it here?