Japan trip for 2 weeks budget

I am going to Japan in a week, I have paid for all accommodation, my JR pass, my flights and transfers.

We haven't paid for any experiences etc. yet, however we don't want to do anything massive - just enjoy the food, culture and sights.

We are going classic first timer route - Tokyo -> Kyoto -> Osaka - > Nara -> Tokyo (with maybe a day trip to a few off the beaten track towns in between).

I have just shy of $2500 USD (3700 AUD). I'm wondering if this will be enough? I want to go shopping and enjoy all of the Japanese food