cheering up the mrs after I've been an idiot

My first post and its long sorry. 
In Brief 
My mrs Though I lied about where I was and had good reason to think so especially with the people I was with and with my past(how I acted before we were together). She also thought I turned my phone off when it was dead and again had good reason to think that. I woke her up silly o clock in the morning worried as I had a missed call grim her and have made her shattered and upset for a huge day at work.  
Longer version 
Ok people I'm a guy and I don't go out often at all. But I went to meet me best friend from school who I haven't seen in years at a beer festival which was in a random park (I don't drink though) .
My Mrs likes to see where I am to know I'm safe and feel closer to me which I think is lovely so we have find my friend on our iPhones. My battery was low and I always warn here if my phone might die. But because I was going back to hotel and could put it on charge I didn't worry. The location tracker on find my iPhone looked like I went from my hotel and then out somewhere with my phone then dead (she thought it was turned off as no warning) so it seemed like I was lying. In fact the tracker I believe was read backwards as the other location was the park where the festival was and my phone was charging up in the hotel and I was in bed like I told her on a phone call. 
I kept in touch all night but she said I seemed distant and she was feeling abit crapoy missing me (were rarely ever apart) but I didn't pick up on this so she is annoyed with me and I feel inconsiderate. Also I had a missed call off her as she wanted to know why my phone said I was elsewhere (misreading the iPhone tracker or it being light I'm not sure) but it came answer phone cus my phone was in it's charging case on charge. 
I woke up 4am and went her to look at my phone and saw a missed call and so I got worried something was wrong and phoned her. She doesn't get much sleep us to be up at 6 and has a really important day at work now. I thought I was being sweet but I was inconsiderate and abit selfish to call. 
I don't want her to think that I turned my phone off as she doesn't seem too convienced. Also I explained the tracker and I don't think she understood how I explained it so I know she trusts me but don't want her thinking her trust is wrong as I was sonwere else (which I wasn't) because my phone seemed to say that I was. I've got chocolate and a nice letter written. 
Any tips on making things up to her and cheering her up? Her boss is pissed at me because she's so tired and she dosnt come around from being upset quickly and it upsets me to see here like that. 
Any help please?!?!