TLDR: The correct phrase is "my interest in and appreciation of...". The incorrect phrase is "my interest and appreciation of..."
"When prepositional phrases are used in a parallel series, prepositions (with, to, of, over, under, by, etc.) should be repeated with every element of the series unless all elements use the same preposition. A common error is to repeat prepositions unnecessarily, resulting in a stilted style." (Grammarly"
In the following sentence, correct parallel structure is not used. The prepositions are different but not all are repeated.
Example: The man drove the car through buildings, alleyways and over people.
In the following sentence, correct parallel structure is used. The prepositions are repeated because they are not the same.
Example: The man drove the car through buildings, through alleyways and over people.
However, If you want to replace people with "tunnels", it would be appropriate to say: "The man drove the car through buildings, alleyways and tunnels.
According to Macmillan Dictionary, the only preposition that can follow "interest" is "in". So, "my interest in" is correct but "my interest for" is incorrect.
Note: I highly suggest you read the full article here