Usually not, but.... Typical probs. Resulting from a cerebellar stroke include poor coordination of arm/legs, equilibrium/balance problems, ataxic gait, visual disorders. But well done studies have found that if the posterior part, or the vermis are damaged, there are complex neural pathways to prefrontal, temporal and parietal connections affected that can cause pers. Changes--cerebellar cognitive affective disorder.
No. Personality is not contained in the cerebellum. The cerebellum is involved in coordinating our complex movements and not our thought processes. However, the trauma of any stroke may cause some change in personality and be more psychologically related.
Cerebellar stroke. Probably not. It can cause problems with balance and may even cause cognitive problems(thinking problems and difficulty with memory).