My experiment is a naming task, in which participants name pictures and their vocal responses are recorded and the onset of vocalization. The data I am dealing with are reaction times in ms and accuracy ( correct answers in percentages. I did the analysis of reaction times and what is left is the accuracy data in which I need your valued help.

Now, just to explain what I have done so far:
Each subject has an average score results for four conditions: Condition A, scored 10/15 , B 9/15, C 6/15 , and D 7/15. I transferred the discrete numbers into percentages and intended to use a mixed anova as I have One independent variable with two levels and two dependent variables with two level each. 

My questions are:

1- Do I have to run a normality test for these data? the data size is over 30?
2- what if they were not normally distributed? what should I do?
3- Is transferring data into percentage right or wrong? 

Many Thanks.