Wow, nice purchase with the abandoned hope, heard it's lovely!
Considering your in cali, I wouldn't be able to confidently give you advice, but what I DO know, leave the pitchers on if they are not moldy or brown, considering how many they put up a year, and how long it takes, leave it because it is still collecting light as NOT NOM.
You said 10 weeks ago you got it? Well, I hope it's in full sun by now, if not,should take a week roughly to get it acclimated.
I had my entire bog in the shaded forest, like a duma... and I literally dragged it into full sun like a duma....
Didn't burn them too much at ALLLLL . Maybe few dots, but nothing significant at all.
Those green growths thing are odd, I'd actually post in plant I d if you said they start out like that paddle leaf, then go spiky. Weird