Step 1: Scrub typhus is caused by Orientia tsutsugamushi, formerly Rickettsia tsutsugamushi. So that statement is correct.
Step 2: The trombiculid mite is both the vector and the reservoir, because the organism passes from one generation of mites to the next through transovarial transmission. So mites as reservoirs is correct.
Step 3: Only the larval stage of the mite, called the chigger, bites a vertebrate host and transmits infection. The adult mite does not feed on people. So the statement that transmission occurs when adult mites feed is false, and this is the exception.
Step 4: Tetracycline, or doxycycline, is the drug of choice for scrub typhus, so that statement is correct.
The correct answer is option C.