You are almost there...
You only need to change the incrementation to happen before comparison by moving the ++ before the value.
Another smaller thing, rather than using Response.Write to output JavaScript, user ScriptManager.RegisterClientScriptBlock ;)
Example:
protected void Button1_Click(object sender, EventArgs e)
{
if (++count > 5)
{
Button1.Enabled = false;
TextBoxFN.Enabled = false;
TextBoxLN.Enabled = false;
TextBoxBD.Enabled = false;
TextBoxCP.Enabled = false;
TextBoxADRESS.Enabled = false;
TextBoxEMAIL.Enabled = false;
txtcaptcha.Enabled = false;
DropDownListCS.Enabled = false;
DropDownListGENDER.Enabled = false;
ScriptManager.RegisterClientScriptBlock(this, this.GetType(), "alertFull", "alert('Sorry Registration is full');", true);
}
}