Ah! Then you just need to get used to the bulk and weight of the gear required to dive in 60 F fresh water. Some of what you write is simply due to being a new diver, I think, rather than diving in cold water per se. For example, neglecting to connect your crotch strap, or to completely zip your wetsuit, or to do a proper weight check beforehand.Correct. Islamorada is nothing like Flaming Gorge.
Many of us find that diving in pairs is much easier than diving in triples (say). Buddy checks, keeping track of your buddy, etc., all seem to be more easily done, with less stress.
Your next dives in "cold" water will almost certainly be smoother.
One other comment: I learned to dive in MO and AR. Big lakes here have temps at depth that are in the mid-50's. We never regarded these temps as "cold." "Cold" for us here is winter diving, especially since you can't warm up by ascending to the shallows.
Congrats on completing your first local dives in "cold" water.
rx7diver