You can hook up jumper cables safely in the rain, just be sure to keep your hands away from the metal part of the clamps. Make sure you hook it up properly, if you don't know how, let me know, and I'll tell you exactly how to do it safely. If it's the battery, you'll be able to get it started. If it's not, then it's the starter and there's nothing you can do about it without replacing parts, and taking it in for the repairs.
Sorry you are sick with the flu, I have been too. I was up all night last night sweating and then freezing. My temp was 101. I was able to eat today and keep it down. Been taking tylenol to keep the fever down. I think I'm over the worst, as I'm no longer sick to my stomach.
I know about the "healthy mask". I do the same thing. I hope you and the hubby can enjoy bourbon street. It's raining like hell here too. Kinda puts a damper on everything.