Thanks for your question.
Used vehicles are often covered by a limited warranty. If this is true in your daughter's situation, she will have to check the terms of the limited warranty to see what is covered. If the items you've mentioned are included in the limited warranty, if there is one, the dealer will have to pay for the repairs.
Sometimes used car dealers will make comments that create an express warranty, for instance, by making statements such as "this car is in great running condition," or "there's not a thing wrong with this car." If that's true in this situation, the dealer can be held liable for problems that appear within a reasonable amount of time after purchase.
If she purchased the vehicle as is, without a warranty of any type, the old saying "let the buyer beware" would apply. If the vehicle was sold in an as is condition, the dealer would not be responsible for paying for any of the repairs.
If the dealer can somehow be held responsible, either through a warranty or through verbal (or written) representations about the vehicle's condition, but he refuses to pay, your daughter can sue him in small claims court to try to recover her costs of repairing this vehicle.
Hope this helps. Good luck.