The employer is not responsible for the payment of your premiums. That is the responsibility of you or your ex-spouse, depending upon the terms of your divorce settlement. While going through a divorce is a turbulent time your health should always be a priority. Understandably health insurance is extremely costly. If you are unable to afford a standard health insurance policy, you might want to consider a policy that would cover catastrophic medical emergencies.
Most people already have a life insurance policy of some sort.
If you do, you should carefully review them to insure that they are sufficient for your new needs. You may want to change your beneficiary as well. Check with your attorney before making any changes to your policies, as some states will not allow changes to be made during divorce proceedings. If you now provide the majority of support for any dependants you may need to increase your policy. This is an issue that should be clearly stated in your separation or divorce agreement.