Eggs are in issue for a lot of autoimmune people, but not all. I also ahve an autoimmune disease (Hashimoto's thyroiditis) and I do ok with eggs in my diet.
PS, I just learned something intriguing about MS- a lot of MS cases might actually be chronic Lyme Disease! I watched a documentary called "Under Our Skin" (Netfilx has it on Instant Watch) and one doctor said that every case of MS, ALS and Parkinson's he's seen has also had Lyme. It was fascinating to see people recover from what they had been told were other (incurable) diseases. So, it might be worth a look!