you need distinguish the difference between:
1. Your insurance company vs insurance agent
2. lawyer vs claim handeler, $2300 is a small claim/small accident, there is little chance a lawyer get involved
In addition, your Own insurance company has No obligation to collect the deductible for you from the other insurer, particularly the actual cost is lower than the deductible. They might provide some help in order to keep you as their customer when renewal. You have to call the other company at fault by yourself.
Think this way, if the total damage is 20K, not 2K, they might willing to spend 1000 to get the 20k back from the other company, and also cover your deductible. but right now your damage is only 2k, your company won't help you unless they are willing to loss money.