How can I give him space without making it seem like I'm ignoring him?

Sorry, I know Fluther is too sophisticated to be infested with teenage drama-bs, but please hear me out and help :)

Well two days ago, I went over my boyfriend’s house and he seemed fine and we were happy. But later that day when he was texting me around 10, he started hammering me with a bunch of questions like, “are you sure you want to be with me?”
I tell him “f*** yeah I do! Why are you asking?”
And then he says I don’t show it. Then he starts complaining how he thinks I think I’m bored when I’m with him just because I kept texting my girl friend here and there when I was at his place.
It really irritated me to the point I started crying like a little b**** and venting to all my friends for advice.
And yesterday, I tell him “good morning:)” trying to start a convo, and he kept replying one word texts which I hate; but understand since he’s not in the happiest of moods. I stopped texting him when he replied, “yea” and when I went on facebook, he randomly instant messaged me asking why I didn’t reply (“it’s like you don’t like talking to me”). And he tells me to put an effort into starting a convo. So I do and ask him how his day is and stuff and he still replies one word like “ok” or “cool.” So while he was at work yesterday, I came over his house and had a talk with his mom since we are pretty close. She tells me he is stressed out with driver’s ed, bulking up for football, school and work and to just give him time to cool off. He calls me up last night angry at me because I came over his house without him being there.
So I just give him space and haven’t texted him the whole day other than telling him to have a good day at work.
I just want to ask you guys if he wants to push me away? His best friend says he always talks about me and he really likes me so do you think he would just leave me? :( And I also want to know how to give him space and ‘time to cool off’ without making him think I’m ignoring him; which is possible because of his mood swings.
Please help, I really appreciate any advice! I really want our relationship to last.