Normal Distribution - HELP THESIS

I am doing my thesis and a I am bit confused on how to interpret my data.
I have a sample of 30 people and I have them complete composite measures every day for 5 days with Likert scales 1 to 5
Now that I have my data I want to know if I have to look at every single item to see if it's normally distributed? OR, if I can just look at the distribution of the average scores of each measure (instead of every single item)? I think that would be insane to look at every single item (185), but if it has to be done, is no problem.
Also, if they are not normally distributed, does that mean I can't do parametric test? Isn't there like a rule that if N =, > 30 is not problem, I want to do correlations, regressions, and t-tests.

I would really appreciate your help!
Andrea

That's why we invented spreadsheets! Who cares how much data?!

The rule of ">30" is vague, at best. Don't rely on it.

If your parametric tests require Normality, you're toast unless you can show it so.