1) The circumference of the slot is lamda/2 at the operating band if it lies inside the structure. if you create an open slot then the length of the slot should be lamda/4.
2) are you exciting the antenna with inset or coaxial feed?
3) suppose if you want to design antenna operating at 1,2,3 and 4 GHz. then base antenna could operate at 1 GHz.
4) I did not understand your question.... but in general overall length of the antenna is around lamda/2 at operating band.