Tax deduction for a second place of living in a different state

I had to move to Indiana from Louisiana and left my wife and kids in our home in Louisianaslast May due to long term assignment for 2+ years.

 

I had to rent an apartment with utilities as well as had to buy office equipment and supplies needed for ny new assignment.

 

I am receiving a per diem that is being reported as income on my W-2 form

 

Two questions:

1- Can I deduct these expenses? 

2- I see my W-2 shows paid 2 state taxes one in LA ands one in PA. I did answer that I have paid taxes in 2 states when I started my taxes. Not sure where to input this data? I am currently in deductions.