Are there certain types of disputes where ADR would not be appropriate for the resolution of disputes with you

Answer 1

In reality, some people enter litigation not only for the outcome, but to make the facts of the litigation a matter of public record. In such case, ADR would not be appropriate because it could result in keeping the matter secret (by having the file sealed by the Court).

Answer 2

Frankly, any dispute can be settled by the appropriate ADR procedure, but if the desired outcome requires a court order (injunction, for example), then it will have to go before a court at some point.