I'm sure my
A and
4 are correct. The base first attacks the borane to form an anionic borate as an intermediate. 1,2-migration of the R group occurs, and from there you can do arrow pushing to form an allene and kick out the chloride group, forming the allenic borane (
A).
Following that, a bond forms between the aldehyde O and the boron atom. Push arrows from C-B bond to the C=C bond, and continue doing so from the next C=C bond to a new bond between the terminal C (of the allene) and the electrophilic carbon of the aldehyde. This gives an alkyne. Hydrolysis of the resulting borane gives the homopropargyl alcohol (
4).
I even looked up literature for this step, so it's most probably correct. Most literature didn't have any equilibrium occurring at 25°C though, and even if the reaction was brought to room temperature, the same stable allenic borane (in this case
A) will form.