Why do mutations occur in inbreeding?
By inbreeding, individuals are further decreasing genetic variation by increasing homozygosity in the genomes of their offspring. Thus, the likelihood of deleterious recessive alleles to pair is significantly higher in a small inbreeding population than in a larger inbreeding population.
How does inbreeding affect DNA?
When inbreeding happens and two closely related people have children, these children are likely to have less diversity in their DNA. Which means these inbred children would have fewer types of MHC alleles (or fewer keys). With fewer types of MHC alleles, they can detect fewer types of foreign material (or locks).