Stop measuring your success by what the scale is. Stop judging your health and body composition by BMI.
You've lost inches, your looking toned and fit, and once your iron levels are sorted out I'm sure you'll be feeling much more energised and positive.
When your anaemic you can burn a lot less calories than normal In general, your systems are sluggish and your general activity level is reduced even if you are continuing to exercise (and your exercise performance will also be effected).
As much as muscle does weigh more than fat, the more muscle mass you have the more calories your body burns (including at rest). So if your muscles mass has reduced you may be overestimating how many calories you need.
It sounds like there is a lot of room for error in your measuring and recording of calories in and out, however I really think that this plateau will resolve itself once your anaemia is resolved.
Some people lose weight when their anemic due to a reduced appetite, however I've always gained weight when anaemic because I'm usually a busy on the go person and burn a lot of calories by accident/ through incidental exercise. Eg. At home I Clean, do DIY, dance around, play actively with my kids, always take the stairs not the lift, walk a lot, and I also work a semi manual job. When I was severely anaemic I couldn't be bothered to do half of that because I felt so rubbish and had no energy. I can walk 8+ miles a day and not think anything of it, because I'm busy running errands and I walk for pleasure as well, but when I was anaemic I couldn't walk 8 metres without getting puffed out, and all those 'extra' ways I burn calories disappeared.
Anaemia is known for effecting weight, and this effect can be positive or negative. But if your anaemic and suffering from a plateau, I would always start there.
Do you take any vitamins or supplements also? Because you may find you are not getting enough of lots of other vitamins and nutrients as well. For me what works is supplementing vitamin D3, k2, magnesium, Sometimes c and zinc if I'm suffering from poor wound healing or general malaise. And I spatone the week of my period which has helped protect my iron reserves although my iron can sometimes dip even then as I have very heavy periods, even with tranexamic acid. Do you know if there is an underlying cause for your anaemia? It looks like you may not be eating enough iron rich foods, so that's worth looking into even if it won't make a marked effect it will get you into good habits and hopefully prevent your anaemia getting so bad again