Welcome to Florida. I would just like to point out that you posted your question in the Trades section. If you post in the Forum section you will more likely get the answers you seek. The only one I can help with is the Morning Glories. Yes, some Morning Glories grow here in Florida, however, the ones that have volunteered in my yard have withered and died during the heat of mid-summer. I imagine if I had more shade in my yard they might have done better, but shade is something I have very little of at the moment.

You might want to try a Passion Flower Vine instead of Morning Glories. This would be a great place to trade for some nice Florida plants.

I've grown morning glory here in Zone 10 (South of Lake okeechobee) just by throwing them into a palm tree, yes they do well here. Last year I grew some Mammoth Sunflowers and they grew huge. Don't know about the nasturtiums, but according to floridata.com they do well in zones 9-11 through the winter.

Here is a link that might be useful: Nasturtiums

My nasturtiums (Dwarf Jewels, Gleam mix, and Alaska) do great here!