Are lymphocyte rich hodgkin's lymphoma and nodular lymphocyte predominant hodgkin's lymphoma the same?

No. You have the nomenclature exactly correct , and these 2 entities are rare and distinct forms of hodgkin's lymphoma.
Sometimes. Both ate classified as hodgkin but they can behave differetlny. Both are treated te same with chemo abvd regimen. Some new data suggest adding Rituxan (rituximab) if cd 20 positive in lymphocyte predominantly disease.