Sounds like you're doing great with her.

I'd love to see how she looks now.
But if I may make a suggestion to her diet...
Considering the kind of diet lorikeets have in the wild, why don't you try mixing the pellets with some kind of natural fruit juice? I would think that with how dry and hard pellets are, a lory is likely to lose its brush tongue, like it would with seeds.
It's also not reccomended to use pellets on lorikeets, because it messes up their digestive system, since they're designed to have mainly wet foods. Yeah, their poop will be wet and gross, but at least they won't be constipated.
Additionally, there is "nectar" you can get for a lorikeet, which would be the liquid version of specialized lorikeet pellets. I believe two brands that are available in Australia would be Passwell, and Wombaroo.
If you go for Passwell, look for "lorikeet complete diet", not to be confused with "lorikeet dry food".
Wombaroo seems to be a little more obvious. Should go along the lines of "lorikeet and honeyeater food".
From my understanding, it's somewhat similar to baby bird food. Comes in a powder, and you just add water. I would think it's meant to be at a thinner consistency, and you probably don't use a syringe.
This is the information I got from research, so I hope it's helpful. Other than that, it sounds like you're doing great. Even if she's only shredding the carrot that's fine, because chances are she's taking some bites in between. My tiels love to shred up broccoli and carrot, and do take some bites in between shredding.
Getting a parrot to play with their food is a good thing, because it promotes independent play, which is really good for a bird's confidence. Plus, when they play with their food, it makes it easier to get them into foraging toys, which is great when a bird doesn't know how to play with toys in the first place.
