UPDATED FOR TAX YEAR 2019
Yes to both questions.
IRS Pub. 502 - Medical and Dental Expenses includes wording referring to "a person" but I don't think we have to take that literally. They do NOT exclude more than one caregiver.
Lodging: "You can include lodging for a person traveling with the person receiving the medical care.. . .The amount you include in medical expenses for lodging can't be more than $50 for each night for each person. You can include lodging for a person traveling with the person receiving the medical care.
Transportation: “Transportation expenses of a nurse or other person who can give injections, medications, or other treatment required by a patient who is traveling to get medical care and is unable to travel alone,”
[Edited | 4/9/2020 | 1:00pm PDT]
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