Alice, how great that you found us! I just last week let my subscription to DG lapse, and was sad that I missed you and the others from there. We have a nice Tropicals forum here as well as a thread on Florida Gardening that you'd be welcome to join, (even though you're not here . . you grow so many of the same things) Many familiar names to you will be there incl. plantladylin, and mjsponies.
The palm weevil strikes very quickly, and my neighbor's Washingtonia went from looking ok to all leaves hanging straight down in the course of about 2 weeks. They are huge weevils the size of your thumb that bore/eat right into the heart of the palm. Prevention is the only answer, and of course on a very tall palm it's next to impossible. One old fellow Master Gardener rigged up a douse system on a tall pole to pour dilute insecticide into the crowns of their palms. Not sure exactly what they're using or how often, but probably something with a systemic component.
On the 'up' side, the ones that survive your cold temperatures might be ok. The cold may have zapped the bugs as well as the palms, let's hope! Here, the bugs that don't burrow into the ground get set back pretty severely when we have a cold snap.