However its going to be a tedious *PITA* to join and insulate them all neatly enough to be reliable and still fit in the housing so your and Andy's suggestion of a partial rewind is probably preferable. It would be worth seeing if its possible to only strip and rewind the damaged turns rather than unwinding from the winding end. If the O.P's very lucky, It *MAY* just be possible that none of the broken turns are buried. If any are, unwind from the end as Andy proposed.
Yeah, it does really depend on how much room you have to work with.
Joining the broken wires is only feasible if you have external room for the extra wire bulk that doing this will add.
The downside with a full rewind is that sometimes its a PITA to get your rewind to fit because it was done by machine with perfect alignment. It really depends if there is any extra winding room or not. Human rewind always ends up larger than machine wind.
Sometimes the machine wind has wires really close to the rotor core with no room for the winding to be any larger.
However, looking at his motor that doesn't appear to be an issue.