Hi Lauren (and family)! Welcome to SoCalHiker and the Six-Pack of Peaks Challenge!
Mt Wilson will be fine, though water levels in the creeks have made the creek crossings more exciting!
Cucamonga Peak, on the other hand, is not hike-able right now, and may not be until April or May. Of course, it all depends on the whether, but given the snow we’ve had this year, I’d guess May or maybe even June is a possibility.
The issue is that in the current conditions, it is NOT a hike. It requires winter mountaineering, along with all the gear, training and experience that goes with that. One of the trainers at REI explained the difference between hiking and mountaineering like this: “In mountaineering, if you slip, you could easily die.”
Unfortunately, all of the other peaks besides Mt Wilson will be in a similar condition for some time.
Tackle Mt Wilson, and use the time between Peak 1 and the others to tackle some of the trails in the Santa Monica Mountains or visit some waterfalls. You’ll find that doing a long hike on the weekends will help you tackle the bigger hikes up the other five peaks with much more confidence.