You may have ground contact framing and above ground decking and railing. When the industry voluntarily discontinued CCA in 2003 as a preservative for most purposes, ACQ & CA replaced it. Unfortunately, especially during the first couple of years under the new chemicals, quite a bit of material was treated just for above ground use. Only the sizes typically used for framing were treated to the higher retention level. If you decide to keep the existing framing and redeck, spend the money up front for Trex in exchange for lower maintenance and cleaning costs. Or use ground contact treated lumber, give it a gentle pressure wash each year, a coat of Sikkens Cetol DEK, and get another 12-15 years out of it. Keep in mind most composite brands require 12" joist centers with 45 degree flooring. I can't tell for certain but I think you have 16" centers. Personally though, given the apparent age of the deck, I'd spend the extra money and do a total replacement, regardless of whether it's with treated or composite.