Is it a false arrest? Embarrassment ?

I went to a retail store to buy two things that cost a total of $2.14. I paid with $1 paper dollar and the rest with coins. I spent about 3min to pickup the items and 1 minute to pay for it and I got out. After I passed through the door a soft alarm wrong at the exit. I thought maybe that's something they get used to, but No! I heard the lady calls me : manm you need to come back, while she was standing in front of the exit door. I turned around it was the same cashier who cashed me out.I asked her what's going on? She said ma'am when you walked into the store there was no alarm now you get out that means you put something in your purse. I calmly told her are you sure I took you merchandise or you want to check if the item I bought might have codes that still in there. She replied to me don't make me grab your purse to get my item. I said so you directly say to me that I stole something. She said yes! Because you came in there was no alarm. I said i will come back but i want to record