Step 1: The question tests the mechanism of action of the mini-pill. Unlike combined pills, POPs rely on progestin alone, so estrogen-dependent effects are absent but progestin effects dominate.
Step 2: Progestin acts on the cervix to make the mucus dense and impenetrable, forming the first barrier to sperm.
Step 3: At the endometrium, progestin keeps the lining thin and atrophic, so even if fertilisation occurred, implantation is blocked.
Step 4: Progestin can also blunt the mid-cycle LH surge and suppress ovulation in many users. Because every individual statement is a genuine action of POPs, no single option is sufficient.
\[\boxed{\text{All of the above}}\]