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That is probably the relay on the control board in the furnace. What do you have the fan setting on? Put it on "auto" and see what happens. Get back to me and let me know. All follow ups are included in our fee.
I would go with a Dinosaur Electronics board IF they have one for your model. Made here in Oregon and much superior to the OEM boards and they have an outstanding warranty should you ever need it. Most are about $140 or so. Amazon sellers or E-Bay sellers usually have some good prices. Get back to me with your furnace model and I can get you a part number.
Since I didn't hear back from you I am thinking you were able to resolve this issue, but if not, please get back to me. I will offer you a phone chat option as well as that may help and some of our customers prefer this.