Welcome to the QuiltingBoard. From a search of the machine information you gave I think you might have what is known as a Singer 15 Clone, a copy of Singer model 15 made in Japan after WWII.
By the needle not coming up I assume you mean the cycle of the entire machine stops on the upcycle of the needle.
To start diagnosing, I would loosen the motor bracket bolt, lift up the motor and remove the belt from the motor pulley and the machine. Remove the needle and the bobbin case. Remove the faceplate at the needle end of the machine. I would also remove the cover holding the hook/race piece in place, this is what the bobbin case connects to. There could be something stuck back there, thread, broken needle maybe.
Hand cycle the machine, looking at the top of the hand wheel on the right side turn it such that the top of the hand wheel turns towards you. If the machine still won't cycle look at the end under the faceplate, and underneath the machine, see if there is any obvious sticking point while you move the hand wheel (gently) back and forth.
Let us know what happens.