You're correct in saying that a reduction in exchange rates will increase exports and so AD. This will cause demand for workers to rise as firms are incentivised to produce more and so cyclical unemployment will reduce.
What you have said about domestic prices is true, however this depends on what part of the LRAS curve that the economy is on at the time. If the economy is operating on the elastic part of the LRAS then an increase in AD will not cause domestic prices to rise. If the economy is operating on the bottleneck stage then this will cause a shift onto the inelastic part of the demand curve which in turn will cause prices to rise.
Simply base your answer on the assumption that the economy is operating on the elastic part of the LRAS and if need be use your point about rising prices as an eval.
There are two different diagrams that can be used to learn about aggregate demand, if you haven't the same one i have this whole thing probably makes no sense lol
Hope it does though (Y)