The IRS says in this document:
Qualified expenses are amounts paid for tuition, fees and other related expense for an eligible student that are required for enrollment or attendance at an eligible educational institution.
The cost of a life coaching certification is not a qualified expense and cannot be used for the Lifetime Learning credit.
Yes.
To be eligible for LLC, the student must:
To be eligible for the tuition credits or tuition & fees deduction, the course must be taken at "an eligible institution". The school should be able to tell you if it is an eligible educational institution. In general, an eligible educational institution is an accredited college, university, vocational school, or other postsecondary educational institution, including accredited, public, nonprofit, and proprietary (privately-owned, profit-making) postsecondary institutions. Additionally, in order to be an eligible educational institution, the school must be eligible to participate in a student aid program administered by the Department of Education. If they issue a 1098-T they are probably an eligible institution.
Enter your school at the link below, to see if it's on the dept. of education list.