What is the specific medical diagnosis for your scalp, is it definitely simple dry skin (xerosis)? You can do more harm than good self treating a self diagnosis, several of the home remedies you mention are completely wrong for xerosis and could easily worsen it, they are for seborrhoeic dermatitis (greasy dandruff). All are potentially irritating so could worsen one or more forms of dermatitis. Treating a primary dermatological diagnosis is not the same as treating the same issue as a symptom of another disorder.
I have a healthcare background so have a basic knowledge of many of the most common health problems, but know relatively little about lupus so I suspect most here have even less knowledge. I would suggest you head over to one of the lupus charity websites, speak to a dermatologist, rheumatologist, registered dietician or other appropriately qualified medical professional.
2a-2c, medium texture, porous/ colour treated. Three years CG, growing out mechanical and chemical damage = breakage and very high porosity. Past armpit length heading for waist.
Treatments: Komaza protein, Komaza Matani, coconut oil with sugar syrup. Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss ultimate volume
Styler: Umberto Giannini jelly, Boots curl creme, Rockin RInglets
Experimenting with: Mega-Tek, Curl Harmony reviver, Elvive Full Restore 5.