X-recessive disorders and genetic markers
Genetic markers don't cut the DNA. They're simply regions of DNA sequence that happen to be variable between individuals (see my answer to your previous question). They might be measured using restriction enzymes (i.e. RFLP) to identify the exact difference, but it's not the marker that's cutting DNA. Furthermore, they don't necessarily cause disease. They're used in pedigree analysis to find regions that are linked with various phenotypes, among which is disease. However, linkage does not imply causation, especially with so few individuals.

To answer your first question II:1 isn't in the affected family - he married into it. In the affected family, A1 has become linked with the disease mutation. It is not necessarily linked with the disease in other families.

This is also the answer to your second question. I:2 has A1 marker on one chromosome associated with the disease allele, and one that's not. II:3 presumably inherited an X chromosome with the disease allele.