HI there, thanks for asking for me, can I have a little more information to see if I can help?
How long has she had these signs, have all the signs always been present all the time?
How old is she?
Has she been neutered and if not when was her last season?
Is she showing any other signs eg is she drinking more?
The changing coat could be due to cushings disease, where the body over produces steroid hormones. Usually you would see other clinical signs, but the problem may be coming on very gradually. Something called an ACTH stimulation test woul dbe needed to diagnose that, and it can be treated with meds.
Sometimes you will get coat changes after spaying - did the onset tie in with the operation time or the next moult after, some female dogs will develop a puppy-like coat which is much fluffier and softer than the adult coat, so it may be that.
As far as the weight loss goes it may be an innocent sign from when she was anaemic, but could easily be a sign of something more sinister going on, I would request some more tests for piece of mind - tests to check her liver function (BIle acid stimulation) and possibly a faecal exam to check if she is digesting her food properly.
The other suggestions I have would be to improve her diet as far as coat etc goes with supplements containing EFAs - cod liver oil and evening primrose oil capsules should help for that.
I hope this helps,