If I’m working my chest 2 times a week doing bench presses, dumbbell flyes, push-ups, and dips do I need to do triceps focused exercises too? All of those chest exercises use the triceps, and sense I’m working my chest 2 times a week wouldn’t they get worked enough?
You need a better split:
chest/back
Cardio/abs
Bi/sholders
yoga/ abs
Tri/legs
this way you have a day between excersises that would have secondary muscles.