First, I'm no expert on fruit or nut trees...
Second, the below information comes from what I've been told by people who know (or at least, I believed they knew what they were talking about), what I know and from doing some research on the internet.
Listed below are when you should expect to start seeing those trees start producing:
Pecan - takes a minimum of 5 years.
Meyer Lemon - takes a minimum of 3 years.
Peach - takes a minimum of 3 years.
Fig - takes a minimum of 4 years.
Listed below are when you should expect to see those trees flower:
Pecan - mid to late Spring.
Meyer Lemon - pretty much all year, except in the dead of Winter.
Peach - early Spring.
Fig - late Winter to early Spring.
Rikon: The trees themselves have all grown and flourished, and what's more is that all of them (except the pecans) were blooming when I bought them.
Question by Mike Perry in comments (now deleted): Are you fertilizing those trees? If yes, with what & how regularly?
Rikon: I use the Miracle Gro fruit spikes once in early spring and once about now (late august): Miracle-Gro® Fruit & Citrus Tree Fertilizer Spikes
You might be over fertilizing them with those "chemical" spikes. Lots of growth and foliage, but lack of flowers (fruit, nuts) can be a sign of over fertilizing or an imbalance in the fertilizer being used.
Personally, I would:
Mulch the trees with a 2 to 3inch (50 to 75mm) thick layer of "good" quality compost, doing so will feed the trees slowly and naturally. Mulching of trees is "generally" considered good practice (especially in warmer climates like yours), if done correctly, e.g. Mulch should never touch the trunk of the tree.
Move away from using "chemical" spikes, instead get a well balanced, organic fertilizer, something like 5-5-5, but nothing more than 10-10-10, that can be mixed-in with the compost (mulch) layer and allowed to work slowly down into the soil and root system of the trees.
Lack of fruit, nuts, can also be a sign of poor pollination, there can be numerous reasons why trees suffer poor pollination. In your situation, you would need to determine if in fact that was the case. If it was, then depending on the cause, you would need to make changes in an effort to prevent that from happening again in the future.
With all that said, I think your trees might be just a little bit too young to expect them to be producing this year. If they, or at least all of them except the 2 Pecan trees weren't starting to produce next year, I would be more concerned something is going wrong.
Below are some of the references I used while researching this question, you may find them helpful/useful to read at your leisure: