1)  The moving expense does not to be entered again on the State return as it will transfer from the Federal.  You do need to go through the State questions as it may ask about some income or expenses as sometimes the State treats things differently than the Federal. 

2)  You only enter amounts paid for education.  You do not enter loans anywhere in the program as loans are not income or deductible expense. 

3)  Under Health insurance you just enter that you are covered and that is all you have to do.

4)  These are considered Job-Related expenses.  You have to be able to itemize your deductions to claim this, so you have to exceed the standard deduction ($6,300 for single) and then it would have to exceed 2% of your Adjusted Gross income to be an itemized deduction.

It would get entered under Federal Taxes

Deduction and Credits

Employment Expenses

to Job-Related Expenses.