First one looks like a Babaco or possibly a fig of some sort. Can you take a picture of the trunk? I'm not sure quite what the other is, but I can tell you definitively that it's not a Tamarillo. Those have a very sturdy trunk even when young, and the new growth comes out a sort of burgundy colour.
Same overarching family, although Babaco is a naturally occurring Vasconcella hybrid, and papayas belong to Carica after the recent taxonomic shuffle. Looking more closely at the second plant, I'm wondering. If that's a vine, you could have a Granadilla (Passiflora ligularis).
I think the first one IS a papaya. I do remember planting papaya seeds now. Thanks! And, the second one could be a Granadilla. I can't remember if I planted seeds from that fruit. Thanks!!
Gently crush a bit of one of the leaves of the supposed Granadilla. It will smell vaguely passionfruity if that's what it is.