Tell them you give them permission.
I'm assuming you're in the US. Not unless you give him permission, he has a warrent, or it is an emergency.
IT is a good idea assuming the custodial parent has sole custody or sole legal custody of the child. Otherwise, most states will administer medical care to a child with either parent present and will administer life saving measures without anyone present though they would be unable to continue treatment beyond emergency stabilization without a parent or guardian consent
Medical Assistants are not allowed to administer Immunizations, they are not licensed and does not have authority to administer, authority exists them to give immunizations.
Yes they can give permission
give permission = allowed orally = aloud
To give permission
The refrigerator is a common place to leave information for a babysitter. If that's not possible, then place the information on your kitchen counter in plain view. You may also want to consider emailing the contact information to her in addition to posting it in your home. That way your babysitter will have it when she is not at your home. Here are somethings to include as information: your mobile phone number, email address, the phone number for where you will be while you are away, an alternate emergency contact phone number for a trusted neighbor, relative, or friend. The name and number for your child's doctor, the number for your local Poison Control office, and your child's food/drug allergies and medical conditions. Make sure your babysitter has your home address and phone number in case she needs to give it in an emergency. With this list your babysitter should have all the contact information to keep you informed or get help if needed.
Almost anyone (depending on the drug) can administer a rectal suppository.There are many people who self administer them.
Yes, you can give them permission to move out. It will not remove your responsibility for their welfare.
dispense,distribute, administer, give away, give out, donate, award
Approval, assent, acquiescence can all mean to give permission.
Only Diabetes docters are allowed do give out eppiepens