Juicing carrots is a good way to heal scars...I had shingles on top of eczema 5 years ago and was left with pock marks all over my legs. I juiced carrots, parsley and celery and my legs don't have scars at all. Coconut oil is also very good for making your skin soft and reducing the scar damage.
I wouldn't use any steroids as they have long term damage on your skin.
When we're young, our skin heals fast, but from mid 30s onwards, scars start forming...so you may have to look to change your diet. A diet rich in veg (think 9 type veg salad, any kind you fancy focusing on leafy greens) will make your skin look beautiful.
Also cleansing your colon shifts a lot of dirt, toxins in your gut and stops the leaky gut syndrome where the skin starts spitting out toxins and we end up with skin problems.
Dr Pagano's book on Psoriasis, The Healthy Alternative is also a must read for people with eczema and has lots of eczema cases in it. Also Juliano's Raw Uncook Book is great for raw recipes that are quick and fun to make...
Good thing is you're young and can sort this out now rather than later when your more set in your ways...
Good luck on your healing journey though!!