Yes, we need to know what types of plants you have in order to help.:) I have overwintered a whiskey barrel in the past. I cut the hardy plants back and dropped them in the bottom. Get yourself a completely submersible titanium aquarium heater (don't use the glass ones!) rated for the number of gallons of the barrel. Stick it in the barrel and plug it in. It will keep the barrel from freezing. It won't heat it up warm but it will keep it warm enough to prevent freezing.

Purchased at a grocery store, my money would be on "Stargazer", a very popular Oriental lily. The Orienpet hybrid type "Anastasia" could be what it is as the flowers do look somewhat similar - but without any identification tag included with it, it could be whatever the supplier wanted it to be??? However, the short and sweet - if you bought it in bloom, each bloom usually lasts for under a week and the petals simply fall off leaving what is called a "candelabra" of spent blooms. This candelabra can be cut off. The lily only blooms once per season, oftentimes for a long time as each individual bud opens in succession - no amount of care will give you a second bloom, however. Don't think you did much with the self-pollination idea. Need an expert, but I think most lily cultivars are self sterile - they can't use their own pollen. Lilies are self contained units growing up from a bulb - the bulb pretty much has what it needs to grow, bloom, set seeds (if you let it), and the main stem to turn yellow/brown and woody. This dying back process is needed to replenish the bulb for next season. Watering heavily and often will pretty well insure the potted bulb will rot - they like well drained soil. Unlike here in cold climates where lilies can be left in the ground year 'round, in southern Florida lilies would need to be given a cold period called vernalization if you don't get long periods of sustained cold temps. Probably dug up and refrigerated for a period of 6 weeks or so. Lots of info on the internet by searching Orienpet lily Anastasia or just simply how to grow lilies in southern Florida.

Probably not the best choice for a beginner, but if you have the patience and want to learn, you have a ficus lyrata. Aka fiddle leaf fig. Its wants and needs are the same as ficus Benjamina. You can read and then here: http://forums2.gardenweb.com/discussions/1476078/ficus-trees-in-containers-iv?n=223

I tried to edit before, but it disappeared. Several sources I tried to post indicate seed-only propagation. I'm not going to find the links again. But UF says division is possible & it is a more reputable source, so I'll go with that. I don't think I've ever seen a pup, but I'll keep an eye out now that I'm curious. In any event, they are endangered, largely because they are slow growing & difficult to germinate. That results in widespread and illegal harvesting here in Mexico. That part isn't subject to refutation.