Shalom! In parashat Emor, both the Kohen and the sacrifice are disqualified based on physical deformities. What is the connection between the two? (Answers on different levels Pshat, Drash, Sod would be appreciated) :)
They both are part of the service of G-d, and as such it is not befitting G-d's service for people or sacrifices with physical deformities to take part. See Rashi to Leviticus 21:18 in regards to why a kohein with a blemish cannot serve. He compares it to a verse in Malachi 1:8 that explains that offering a lame animal to a government dignitary is disrespectful, all the more so when in the service of G-d:
כי כל איש אשר בו מום לא יקרב FOR ANY MAN THAT HATH A BLEMISH SHALL NOT APPROACH — This means: it is not right that he should approach; It expresses the same idea as (Malachi 1:8) “[And if ye offer the blind for sacrifice, is it not evil? and if ye offer the lame or sick, is it not evil?] offer it now unto thy governor! [will he be pleased with thee?]”.