Tomatoes as.. perennials?

Tomatoes as.. perennials?

Last fall I put a few tomato plants I'd purchased in the ground, which ended up being much too late in the year to harvest tomatoes. They survived over the winter and have started fruiting. So... are they going to produce much more this summer, or should I dig them up and plant new seedlings? The beds they're in could use some work. Also, I started rooting two plumeria cuttings a couple of months back and they've woken up nicely--the first growth they're showing is flower stalks! Is that normal? I can't seem to get the 3' tall plumeria I have to flower.
Plant Identification please

Plant Identification please

The bedroom that I can’t stand unless I’m asleep.

The bedroom that I can’t stand unless I’m asleep.

Holiday Room Cheer

Holiday Room Cheer

Plant ID? Noooooooooo!

Plant ID? Noooooooooo!

The confused Asparagus

The confused Asparagus

A great big flower!

A great big flower!