DNA mutation and repair mechanisms in E. Coli include: 1) Spontaneous DNA damage such as base pair changes from rare tautomeric forms and base deamination. 2) Physical and chemical mutagens that damage DNA bases and cause breaks through oxidation, radiation, alkylation, and intercalation. 3) Four main DNA repair pathways - direct reversal, excision repair, recombinational repair, and the SOS response which is error-prone. 4) Mutations are point mutations like transitions, transversions, or frameshifts that change single DNA bases and cause protein alterations through modified codons.