The short answer is no, they do not have the authority to send you to jail. If you are in default of your contract responsabilites they may have right to come get the goods or take you to civil court. The fact that they came your place of employement is troubling and if they discloused to a 3rd party about the debt that would be a violation of the FDPCA.
You will need to consult with a consumer protection lawyer locally.
1. Start keeping a detailed log of all calls and letters. You should also demand in writing all communications from creditors is in writing.
2. Do not give them any personal information because that is how collectors decide on which accounts to recommend suing.
3. If you are going to make payments use money orders and not personal checks or “check by phone” because if they find a bank account the collector will be more likely recommend a lawsuit the their legal department.
4. All collections are negotiable.
If you are going to settle mark the check “settled-in-full” at the very top back of the check and include a letter explaining you are offering a settlement, keep copies of everything
5. Get written confirmation of any payment plan the agency will accept.
I do not practice in your state and you will need to consult with a local lawyer for protection under your state law.
I have pasted a link to the FDPCA to help you with your federal rights;
I hope this information and generic advice is helpful.