[aznatama]

First, hire an attorney and go see a doctor, unless you want to give up a large chunk of change and possibly be hurting for a while with no recourse if it gets worse later on.

Second, that does not look like just 6k of damage. The bumper beam looks like it was impacted, and from what I remember, there's nothing absorbing bumper beam impact other than a crumple zone. The rear qtr panel can't simply be banged out, and they'll likely need to order a new rear qtr for you. Also, your color is notoriously hard to blend... you'll end up w/ a car that's a different shade of white in that corner if it's re-sprayed.

Even if it is just 6k, how much is your BRZ worth now? Provided it really is only 6k of damage, add on the diminished value, and you could be looking at insurance payout of over 10k... most likely they will total it. Trust me, you want it totaled since they should pay you what it costs to replace it (generally highest dealer asking price for similar car in your area).