Should she trust me??

I DID WRONG IN THE BEGINNING SHE WAS GOING THREW A RUFF TIME SO SHE WOULD ALWAYS BE HOME AND I WOULD HANG OUT MORE WITH MY EX. AND FRIENDS. SHE USED TO GO TO THE BAR EVERY WEEKEND WITH HER FRIEND HE DIDN'T KNOW ABOUT ME THOUGH I KISSED ANOTHER EX DURING THE FIRST MONTH OF OUR RELATIONSHIP SHE WOULD STOP GOING TO THE BAR 3 MONTH IN AND I WOULD BE WITH HER MORE. WHEN SHE MOVED IN WITH ME SHE TOLD ME SHE WOULD STOP TALKING TO HER FRIEND IF I STOP TALKING TO MY EX I TOLD HER YES BUT I WOULD STILL TALK TO MY EX. AND WOULD SOME TIMES USE MY LITTLE SISTERS PHONE SO SHE COULD PICK ME UP BUT I GOT CAUGHT MY GIRL WAS UPSET AND THREATIN TO LEAVE ME. BUT AS THE TIME WENT BY IVE CHANGE A LOT I LET HER TAKE MY PHONE I STOP TALKING TO EVERY ONE I EVEN DELETED MY FACEBOOK ACCOUNT FOR HER AND ME .I HAVEN'T LIED OR GONE OUT ONLY WHEN I PICK HER UP I LOVE HER AND LET HER KNOW BUT SHE THINKS I TALK TO OTHER GIRLS AND TAKE OFF WHEN SHES AT WORK AND GOES ON AND ON SAYING THAT I DON'T LOVE HER DOES SHE STILL HAVE THE RIGHT TO BE ANGRY OR IS SHE DOING SOME THING WRONG THAT I DON'T KNOW ABOUT PLEASE HELP I WANT TO BE HAPPY WITH HER BUT WHY DOES SHE ACT LIKE THIS?