Those are all very reasonable requests. She should send him a "no-contact" letter, the copy of which is to be approved by you, and YOU should deliver it -- so that she doesn't add anything to do. The content would be pretty much what you describe in the phone call scenario.
The other stuff you ask for is simple "transparency," and it's part of any good recovery plan. ABSOLUTE TRANSPARENCY -- change phone #s, get detailed billing on the new cellphone to come to YOU, exchange daily schedules, etc.
Nothing you describe is reasonable if she wants to come back and work on the marriage. If she balks, be calm and loving, and say "I understand. Let me know when you're willing to do these things," and DO NOT WAVER.
If she's serious, she will do these.
For more info, Harley has several good books on infidelity which include info on no-contact letters and transparency plans.
It's important that you ask her for these things in as calm and as loving as a manner as possible. Assure her that this won't be permanent, and that you really have no desire to even do any of THIS, but you have to in order to protect yourself emotionally.