Domanique,
Your swallowing problem is called dysphagia. It is common with lupus and other AI diseases and can usually be addressed with speech therapy. Do not ignore it as it can become a serious problem to get proper nutrition and you can aspirate and get pneumonia.
Testing is usually done with a video swallow test where you swallow different types of food and luquids of different consistentcy while being xrayed. This gives the speech pathologist a picture of your actual swallowing which can be diagnosed.
I could not swallow anything, not even my own saliva, but speech therapy restored my swallowing and allowed me to get my feeding tube pulled after several months.
Talk to your doctor about it and insist on getting tested.
Bill