Dr. Slick wrote:
"(1)A properly tuned and positioned dipole will
be resonant at only one frequency.
(2)Double-dips are a bad sign, and the return loss suffers."

(1) - Nope, just not true.
(2) - Not true either. (see #1)

With the two 'dips' not being harmonically related, it
appears that there is some 'other' reason, the feed line
for one, or something near the antenna (a person for instance?).
'Doc