Psalm 88: does it apply to the New Testament's Christian God?

I was reading Psalm 88 : >**1** Lord, you are the God who saves me; day and night I cry out to you. **2** May my prayer come before you; turn your ear to my cry. **3** I am overwhelmed with troubles and my life draws near to death. **4** I am counted among those who go down to the pit; I am like one without strength. **5** I am set apart with the dead, like the slain who lie in the grave, whom you remember no more, who are cut off from your care. **6** You have put me in the lowest pit, in the darkest depths. **7** Your wrath lies heavily on me; you have overwhelmed me with all your waves. **8** You have taken from me my closest friends and have made me repulsive to them. I am confined and cannot escape; **9** my eyes are dim with grief.I call to you, Lord, every day; I spread out my hands to you. **10** Do you show your wonders to the dead? Do their spirits rise up and praise you? **11** Is your love declared in the grave, your faithfulness in Destruction? **12** Are your wonders known in the place of darkness, or your righteous deeds in the land of oblivion? **13** But I cry to you for help, Lord; in the morning my prayer comes before you. **14** Why, Lord, do you reject me and hide your face from me? **15** From my youth I have suffered and been close to death; I have borne your terrors and am in despair. **16** Your wrath has swept over me; your terrors have destroyed me. **17** All day long they surround me like a flood; they have completely engulfed me. **18** You have taken from me friend and neighbor— darkness is my closest friend. I was left wondering and had conflicting thoughts. Question: **Is the God that this psalm refers to the same God as our Christian God, i.e. Christ's father in heaven?** I am asking because this psalm projects an image of a God that abandons his children and could care less about them being fruitful and having support etc., which is not the "Heavenly Father" image that we have in the New Testament. **Do we Christians read the Old Testament as a historical artifact only, or more than that?**