Yes, Though she MAY be able to do some of the things you mention, she certainly will need both a durable and a medical power of attorney.
Do you parents have wills? Most lawyers include powers of attorney and other important documents when they draft a will.
All of this assumes your dad has the capacity to sign these documents. That is an issue you should discuss with a lawyer.
Mr. Land is correct. The biggest initial concern I read is, "he can no longer deal with any of these issues on his own." If he is no longer legally competent, he cannot execute a power of attorney. That would lead to the necessity to open a guardianship through the courts. This is a very difficult process. Powers of attorney eliminate that need, so it is crucial that if he is able, he execute these documents asap.