Thanks for the tips, Greg
I sure hope they both pull through!
Lynn, I didn't notice any pests when I checked the leaves. It's still a pretty teeny plant and doesn't have much of a trunk and it was hard for me to check without my glasses. I'll see if I can manage to look under the leaves better and report back. The roots looked good to me, quite a few little white roots and no gooey or sickly looking ones. Lowes here has these big fans they turn on when it is hot and they blast out water vapor at the same time, it makes the entire garden center feel like a jungle. I couldn't tell if it was sun damage or overwatering or what.
For the first one should I physically cut the rot out? I just wiped the gooey part off and stuck it in the shade between some pots to dry out.