Definitely go to a doctor and get a check up--it will strengthen your claims for reimbursement for your time and costs dealing with the crash. It sounds like the damage to your car is significantly less than mine and the onboard charger is no longer in the back so it is not likely that there is damage to the EV components. Nissan has a publication on their web site that offers suggestions about accident repairs. Basically, you should insist upon genuine Nissan parts and repair procedures in accordance with the Nissan manuals. As mentioned earlier, don't let them bake the battery. I suggest you keep the portable EVSE at home so the body shop will not charge the battery and leave it at full charge (try to get to the shop at less than 75% SOC). If possible, I suggest you take it to a Nissan LEAF certified dealer that has an associated body shop.
In my case, the body was distorted enough to rub on the left rear tire and the left rear door (and hatch) could not be opened, but I drove it out of the intersection to a safe place to park. There were no warning lights and I sat in it running climate control while waiting for the tow truck (wanted to get the battery partially discharged for storage since it was only 4 miles after leaving home). My 2011 was technically repairable, but the other driver's insurance company declared it a total loss. I was able to see the extent of the damage when I went to the body shop after they had removed the hatch and interior panels. Bent support brackets for the onboard charger were the only apparent damage to EV-related components.
Silver LEAF 2011 SL rear ended (totaled) by in-attentive driver 1/4/2015 at 50,422 miles
Silver LEAF 2015 SL purchased 2/7/2015