for my senior year ROV project my teacher is forcing me to construct an ROV.
What the hell else would you do? I suspect that your teacher is "forcing" you because you haven't submitted a suitable proposal on your own.
You have a project to do. Own up to it, and do it.
However, I have absolutely no clue how to code the system because i have close to no experience whatsoever with coding.
When were you planning to learn?
Essentially i need the playstation controller to operate two servos and four DC motors
Well, it can't. It can provide data that the Arduino can use to operate the servos and motors. You need to define what output from the controller is going to do what.
If someone could write the code for me i would love you eternally.
Money talks. Bullshit walks.