I do not think you understood the concept of NARMS. They do not "set you up" with any company. Once you register, they notify you of jobs that are available in your area.
The decision of whether or not you contact that company is totally up to you. They give none of your information to anyone.
In deciding whether or not to send your personal information to a company when applying for a job, always check them out. We all must screen who gets this info. It is not a bad idea to check into a company's background with more than one source. It is much easier to check in advance than to try to rectify the problem later.
One thing you could ask the company if and when they contact you is, "Who has been doing this work for you in the past and why did they leave?" Sometimes they will say, sometimes not. If they do not, check with the store where you will be working. Someone there will know or if they do not they will usually let you check the vendor's log to find out.
When you go on NARMS, you will find a list of all merchandising companies that are listed with them. Even though they are listed here does not mean they endorse them.
Just a few suggestions of things I have run into in the past.