The Women's rights movement was a movement for gender equality. At the time women were not allowed to vote. The Abolitionist movement was to end slavery completely and totally.
So a similarity could be that those involved in both were fighting for equality weather it was gender or racial.
A difference could be that the abolitionists were fighting to put an end to slavery and free those who were slaves at the time but, the also wanted to move towards ending racial segregation. So, abolitionists were not only fighting fo physical freedom but, social freedom as well. On the other hand, the suffragists involved in the Women's movement were fighting to get women the right to vote and therefore, social freedom.
In short, the abolitionist were fighting to get physical and social freedom for slaves while suffragists, fought to get women the right to vote and their social freedom.
(Social Freedom- What I mean by Social freedom is, having the freedom to be a part of society without restrictions based on you race, gender, etc.)
Hope This Helps!!