How to train my budgie?

I got a male budgie just yesterday and started its training right away. At first I just started talking to it softly and played it some music, made eye contact... Then I let it get used to the cage after it got over its first fright. But it wouldn't move or explore the cage. A few hours of being with him and I decided to go on to the next step. Slowly, I opened the cage and put my hand in (I didn't touch him). I expected him to fly around and panic because I just got him, but he would just stay still. I'm not sure if it was because he was paralyzed out of fear, or because hes already gotten used to me. So I tried to gain his trust for the rest of the day and basically nothing happend. He was still in the exact same spot. This morning he was still in the same spot, and not a peep out of him from the moment he entered the cage, so i sang to him. Today after school, though, he was finally on another perch, his feathers were puffed up and i saw he had eaten some of the millet i left out for him. His cuttlebown was untouched and same with his food dish and im pretty sure his water dish too. So I continued his training. I put my hand in the cage, he seemed undisturbed, so I took a small perch and slowly moved it towards him. He was eyeing it warily, but when i gently pressed it against his abdomen. Nothing at first... he kinda shuffled away from it. I tried again later, saying "up". First one foot went up. And even later, both feet went up. I had some trouble getting him down though. I wanted to see if he would get up on my finger, but that would be taking it kinda fast... He put one foot up on it though! So finally I managed to get him down. Sang to him, talked to him. But still, he hasn't made any noise. Okay well this is a long story, so if you've gotten till here then maybe you're interested enough to answer my question. I just want to know what's the next step. Should I just keep repeating this every day? When should I take him out of the cage? I need the whole story please. And is it likely I will teach him to say a few things? I mean he hasnt made any noises... does that mean he's unhappy? How should I train him to talk (if I can)? Im sure he can make noise because on the trip from the pet store he was making these loud fweeping noises. I think he was calling to his flock or something. 3 more questions so bare with me... Well I need to know a good name for him. (hes a blue regular budgie if that helps). And a few creative phrases tha I can (hopefully) teach him. Third question...what was it? Oh yea... I bought him some grit and later realizes that he doesn't need it. So can I still feed it to him? Are there any benefits of doing so? It has charcoal and oyster shells mixed into it. Is that good for him? THANK YOU!!