Does the draw order affects objects position in depth? (images included)

I have a few objects on the scene and even if I specify that the object A have y= 10 (the highest object), from the TOP camera I can see the bottom objects through the object A. Here is an image from my scene.

And only today I found an interesting property that draw order of models matters, I may be wrong. Here is another image where I change the draw order of "ship1", attention: "ship1" is way bellow my scene, if I do ship1.draw(); first, the ship disappears (correct), but if I do ship1.draw(); in last, he appears on top (incorrect).

Video: Opengl Depth Problem video

• Q1) Does the draw order always matter?
• Q2) How do I fix this, should I change draw order every time I change camera position?

Edit: I also compared my class of Perspective Projection with the glm library, just to be sure that it´s not the problem with my projection Matrix. Everything is correct.

Edit1: I have my project on git: Arkanoid git repository (windows, project is ready to run at any computer with VS installed)

Edit2: I don´t use normals or texture. Just vertices and indices.

Edit3: Is there are a problem, if every object on the scene uses(share) vertices from the same file ?

Edit4: I also changed my Perspective Projection values. I had near plane at 0.0f, now I have near=20.0f and far=500.0f, angle=60º. But nothing changes, view dose but the depth not. =/

Edit5: Here is my Vertex and Fragment shaders.

Edit6: contact me any time, I am here all day, so ask me anything. At the moment I am rewriting all project from zero. I have two cubes which renders well, one in front of another. Already added mine class for: camera, projections, handler for shaders. Moving to class which create and draw objects.

// Vertex shader

in   vec4 in_Position;
    out vec4 color;
    uniform mat4 Model;
    uniform mat4 View;
    uniform mat4 Projection;

    void main(void)
    {
        color = in_Position;
        gl_Position =   Projection * View    * Model * in_Position;
    }

// Fragment shader

       #version 330 core
    in   vec4 color;
    out vec4 out_Color;
    void main(void)
    {
        out_Color = color;
    }

Some code:

 void setupOpenGL() {
    std::cerr << "CONTEXT: OpenGL v" << glGetString(GL_VERSION) << std::endl;
    glClearColor(0.1f, 0.1f, 0.1f, 1.0f);

    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
    glEnable(GL_DEPTH_TEST);
    glDepthFunc(GL_LEQUAL);
    glDepthMask(GL_TRUE);
    glDepthRange(0.0, 1.0);
    glClearDepth(1.0);
    glEnable(GL_CULL_FACE);
    glCullFace(GL_BACK);
    glFrontFace(GL_CCW);
}

    void display()
{
    ++FrameCount;
    glClearColor(0.1f, 0.1f, 0.1f, 1.0f);
    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
    renderScene();
    glutSwapBuffers();
}
void renderScene()
{
    wallNorth.draw(shader);
    obstacle1.draw(shader);
    wallEast.draw(shader);
    wallWest.draw(shader);
    ship1.draw(shader);
    plane.draw(shader);
}