My Blood Group Is A+ve And My Mother's Blood Group Is B+ve And My Father's Blood Group Is O+ve?

Because your dad is group o, which is recessive we get the info that he cannot have passed  onto you an a or a b but can only  pass on  o, so u have at least 1 o allele. You say that u are group A, which u have obviously inherited from your mum, We can tell from that that your mum then has the allele A, yet u say she is group B. This cannot be correct. If she is your genetic mum then her group has to be A B ,( judging by the info u give ) which means she can pass on an A or a B to her offspring. There is no problem with the pos.