The first Pic is swwet potatoe vine

The "heliconia" is an Alpinia ginger, possibly Alpinia Formosana "pinstripe ginger" if the bloom is upright rather than pendant.

Steve

The palm looks like a Parotis (Everglades) Palm Acoelorraphe wrightii

Fan Tree is a Queensland Umbrella Tree
Schefflera actinophylla

I think the "heliconia" is just a small variegated shell ginger Alpinia Zerumbet.
The pinstripe ginger has a totally different leaf (it has pinstripes all over it).

Thank you so much for all your help! I'm trying to build a subtropical garden..thanks!

The palm is a Rhapis species, not Paurotis. The ginger does look like Alpinia zerumbet variegata. A good shot of the leaf in the background of pic # 1.

Jerry

Yep...Agree with Rhapis sp. for the Palm

The "fan tree":
Schefflera arboricola (syn. Heptapleurum arboricolum) is a flowering plant in the family Araliaceae, native to Taiwan and Hainan. It also goes by the common name "Dwarf Umbrella Tree" It is an evergreen shrub growing to 3-4 m tall, with weak, often trailing stems scrambling over other vegetation. The leaves are palmately compound, with 7-9 leaflets, the leaflets 9-20 cm long and 4-10 cm broad (though often smaller in cultivation). The flowers are produced in a 20 cm panicle of small umbels, each umbel 7-10 mm diameter with 5-10 flowers.
See: http://en.wikipedia.org/wiki/Schefflera_arboricola