Try spraying straight thinner through the airbrush, if nothing happens there is something blocking the outlet.
Any debris that contaminates the paint will find the smallest opening to cause problems. It sounds like your new spray tip is very small and will require extra care and thinner paint than normal.
* Straight thinner can be used to quickly clean out a color before changing paints, only if you are using the same type; IE enamel or acrylic. Just be sure to disassemble the rig after your painting is done for the day & thoroughly clean.