Are there any parking structures attached to the airport that you can park your car for 2 weeks and if so how much are the daily rates? Can you pay for a one time month fee to save on cash?

Yes. You need to call the airport to find out the parking current pricing.

They have a short term and long term parking.

Is there a private room for prayer

Yes they do

Covered daily parking is $19 a day (not short term), uncovered N&S parking/economy is $14 a day.

Yes but check with airline about a fortnight parking

There is a parking structure I'm not sure about the monthly savings but the prices are reasonable and there is free shuttle service