April 2:surgical abortion. April 2-15 I was bleeding.16-24 April no bleeding. 24April -4 May bleeding again. Preg Test shows + on 3 May. New Pregnancy?

Possibly. If you had unprotected sex after your abortion then a new pregnancy is possible. You will need to have a BHCG blood test done. That may need to be repeated a few days later to determine if is rising ( new pregnancy) or falling ( remnant of past pregnancy)