**adults PLEASE READ..NEED ADVICE.THANKYOU?

Hi 26yr female here. I will try to make this as short as i can....I have been with my BF for almost 4 yrs....and like every relationship we have had our ups and downs. I have been through HELL AND BACK WITH HIM, but i love him more than neone in this world. He's my other half. That being all said...i am usually spending all my time with him...we do not live together..but i spend the night over his house almost 4 nights a week i would say. So my issue i am having right now is....he works the night shift and he comes home at like 7am and HE SLEEP ALL DAY TILL ABOUT 6 OR 7 PM. I have no friends and no girl friends...i have been basically spending all my time with him for the past 3 and a half yrs.I do have one girlfriend, but he met her once and doesnt like her so i never see her nemore..even though i grew up with her and she live 2 house down from me.(i still live at home)so anyways...today he slept all day and i got really bored...so i went shopping for a few hours...and considering I AM A GIRL i take forever lol. I went to at least five stores..and was just browsing around...to get out of the house. Well...i left at 5pm and got home at 10pm. The sec i walked in my door i rushed to call him. H e freaked out...and i told him where i went...and he called me a lier..and said it doesnt take 5 hrs to shop. **i completly understand he worries about me...and want a phone call...BUT I DONT HAVE A CELL PHONE CAUSE A YR AGO HE BROKE MINE.so i never re bought one. I couldve sent him a text through my online yahoo to his cell phone to let him know i was going shopping so he got it when he got up...but i didnt think of it at the time. SO MY POINT IS...i think i shouldnt have to rush my errands just cuz i feel nervous about what my bf is gonna think...i should be able to do the simple things i like to do...like shopping(alone) with out worrying im gonna get accused of something i didnt do. So know we are arguing online and he is saying he wants to see my reciepts of where i went today or he wants to end out relationship. I told him that regardless how long i was gone for...he should trust me...and trust what i say...he dis agree s and says he wants PROOF. so do i give him what he wants to make him happy...or draw the line and say no...cuz i honestly feel like thats controlling and he should just trust what i say. SORRY FOR THE LONG STORY...IM AGGRAVATED AND UPSET ...PLEASE LET ME KNOW UR OPINION AND WHAT U THINK I SHOULD DO....THANK YOU