Hi sunhk2011,
1. When a pension provider agrees to pay an individual's annual allowance charge liability, no penalty or charge is incurred:
PTM056200 - Annual allowance: tax charge: telling HMRC
2. If you do not pay Income Tax, you still automatically get tax relief at 20% on the first £2,880 you pay into a pension each tax year (6 April to 5 April) if both of the following apply to you
(a) you do not pay Income Tax, for example because you’re on a low income
(b) your pension provider claims tax relief for you at a rate of 20% (relief at source). Paying NIC does not count as paying income tax.
3. Yes, that is correct:
Tax on your private pension contributions
Thank you.