There’s no default Ionic component that’s going to do number 2 for you with a simple cut and paste. I’d take a look at this section http://ionicframework.com/docs/v2/components/#gestures to learn how to leverage tap events to increase a counter like that one. The CSS itself should be pretty straightforward.
I have an idea for the css now. I was thinking about combining 2 round buttons but now I am leaning toward this solution: A div with custom borders having two small, clear buttons.