purpleinopp said:Your first plant may be a birdnest fern.
Bird's Nest Fern (Asplenium nidus)
If so, the leaves will turn brown if it gets too dry.
purpleinopp said:The other plant does look like arrowhead vine but I don't know why the leaves have the spots. Could be a fungus, bacteria, or the roots were struggling in the previous pot without holes. I would probably cut those leaves off if it was my plant, then keep the other leaves dry while it's inside.
Arrowhead Plant (Syngonium podophyllum)
BigBill said:It is going to need a good deal more humidity then that. They are not easy, indoor plants because of that. They like rather subdued light and moist at the roots. Not swampy but moist.
Not sure exactly what the other plant is but it needs more water as well.
You might need a humidity gauge as the birds nest likes 70-80 humidity. Maybe consider a small humidifier in an enclosed plant room.
I just don't know to what level that you want to get involved.
Good luck.