The excess sugar in the carrots will make the diarreah worse. You NEED hay. Her stomach probably hurts a lot at this point. Domesticated rabbits have very sensitive stomachs and they need hay to live. If she doesn't seem to be interested in the pellets, she was probably on an all hay diet and might not recognize them as food. The carrots are likely recognizable to her and comforting, but she doesn't know they are also making her sick. I found a site that says they sell rabbit supplies in iran:
https://www.petsupplies1.com/rabbit-supply-companies/iran
Go to any farm with animals and ask to buy some hay off them. This has to be your priority before a new cage or litter training.
If you absolutely have no other options, try finding some dry grass, or drying it out yourself. If possible, go back to where you bought the rabbit, or find someone else selling rabbits, and ask where they get hay.
Once she has a high fiber diet again, make her a hutch out of a cardboard box. Make sure it has two holes cut into it for entry. Rabbits don't like places where they can be cornered.
Litter training is easy, just put hay in the litter box and move the poop that is made outside the litter box to inside the box. Eventually they get the idea.
You've been given some great advice on cages from other people in this thread. Making a cage sounds like it will be your best bet. Just be careful not to try making or using anything with a wire bottom. You'll give your rabbit sore hocks.
For now, keep her hydrated, and get that hay
