Is rather a conjuction?

would rather

Yes, 'and' is one of the coordinating conjunctions which form the mnemonic FANBOYS, listing all the seven coordinating conjunctions.

The part of speech that serves to connect words, phrases, clauses, or sentences.

"An" is a an article, not a conjunction. In the speech of some poorly educated persons, however, it may be difficult or impossible to differentiate between their pronunciations of "an" and "and", and...

An adverb, modifying the adjective unorthodox.