Nationally, Rev. Dr. Rhim was appointed to the Finance Committee of the National Baptist Convention of America, Inc. by late President, Dr. J. C. Sams, and served into the leadership of current President, Dr. E. Edward Jones.
In September of 1988, at the initiation of the National Baptist Congress of Christian Workers, Rev. Rhim was appointed First Vice President of the Congress., Dr. R.L. Wilson, President.
In September of 1989, Rev, Rhim was appointed President of the Publishing Board of the National Baptist Convention. he has also been added to the Board of Directors of the congress of National Black Churches, where he served as chairman of the Personal Committee (appointed August, 1994 until April 2000).
In 1996, Rev. Dr. Rhim wrote two devotionals for the African American Devotional Bible, published by Zondervan under the auspices of the Congress of National Black Churches. In 1986 Rev. Dr. Rhim was appointed to the Governor's task force on the Black Family by Governor Bob Graham; to Florida Community College of Jacksonville task force for Minorities, and the Jacksonville Urban league's on Blodgett Homes (Minority Housing).
He was instrumental in the organization of the Jacksonville Help Center for drug abused persons early in 1987, and is a former member of the Advisory Board of Edward Waters College's center of Excellence. Later, he was voted to and served two (2) years on the Board of Directors of the Jacksonville Urban League; he was subsequently appointed to the Board of Trustees of Florida Memorial College, where he currently serves on the Executive Committee of the Board.
In 1988 Rev. Rhim was appointed to the University of North Florida Student-to-Student Program's Advisory Council, and later added to the Board of Directors of Premier Financial Services, Inc. In July, 1990, under the auspices of past President Dr. J. B. Adams, Rev Rhim was awarded an honorary Doctor of Divinity degree from Florida Seminary at Lakeland, Florida. In May, 1996 under the auspices of President Albert Smith, he was awarded honorary Doctor of Humane Letters from Florida Memorial college. In 2002 when the Florida Memorial College Foundation was formed, Dr. Rhim was added as one of the Board of Directors.
Early in 1997, he was instrumental in forming the Blackbottom/Springfield Human Development Corporation where he serves as Chairman of the Board. The corporation's purpose is to provide total ministry to the community - both children and adults, The corporation formed the Project S.P.I.R.I.T. program to provide after-school tutoring. Rites of Passage(heritage & culture), and a summer camp. The Corporation is a joint venture of St. Joseph Baptist Church and Day Spring Baptist Church, Rev. Moses Javis, Pastor.
Rev. Dr. Rhim is married to Mellnease Kendrick Rhim (50 years) father of Henry Thomas Rhim, Jr. and Barbara Rhim Hayes; he is the grandfather of Eric and Breona Hayes, Tonetta, Tierra and Marlin Rhim; great grandfather of two.