Topdown 2D Colliders Not Working, help!

Righty, so I'm doing a 2D top down RPG thing and I want to get the basics done (speed, movement, map design working, etc.) and I decided to give the colliders a try. Unfortunately they are not working at all, and it's really irritating.

I know it's due to my character controller, and I have toyed with the "true" and "false" settings on the first two, but it's only lead to these results.

TT: https://gyazo.com/48a504a3173de69b82a2c0619124c8b8 FF: https://gyazo.com/f8d1da85f6236a79f12bc43109563983 FT: https://gyazo.com/c7f2c1952ef2e879f2be56720fa9dc93 TF: https://gyazo.com/26beb0d5a1b90c02c43393a24dc4fce8

What am I not understanding or missing here?

Character Controller:

 using UnityEngine;
 using System.Collections;
 
 public class PlayerController : MonoBehaviour {
 
     private Vector2 pos;
     private bool moving = true;
     public float speed;
 
     void Start () {
         pos = transform.position;
     }
 
     void Update () {
 
         CheckInput ();
 
         if (moving) {
             transform.position = pos;
             moving = false;
         }
     }
 
     private void CheckInput() {
 
             if (Input.GetKey(KeyCode.D) || Input.GetKey(KeyCode.RightArrow)) {
                 pos += Vector2.right * speed;
                 moving = true;
             }
 
             if (Input.GetKey(KeyCode.A) || Input.GetKey(KeyCode.LeftArrow)) {
             pos -= Vector2.right * speed;
                 moving = true;
             }
 
             if (Input.GetKey(KeyCode.W) || Input.GetKey(KeyCode.UpArrow)) {
             pos += Vector2.up * speed;
                 moving = true;
             }
 
             if (Input.GetKey(KeyCode.S) || Input.GetKey(KeyCode.DownArrow)) {
             pos -= Vector2.up * speed;
                 moving = true;
             }
         }
     
     }