Step 1: Legal framework.
The Fifth Schedule of the Arbitration and Conciliation Act, 1996, outlines situations giving rise to justifiable doubts as to independence and impartiality.
Step 2: Analysis of options.
(a) Direct financial interest clearly compromises impartiality.
(b) Repeated appointments from the same source may indicate dependence or bias.
(c) Family interest creates a conflict of interest.
(d) Regular advisory roles to a party compromise independence even without financial gain.
Step 3: Conclusion.
All the listed circumstances create valid grounds for ineligibility.
\[
\boxed{Answer: All listed options are ineligible}
\]