I sincerely doubt it's the developer, especially since they are all in the same direction. If it was developer related, I would think that the results would be completely random, as far as the streaks are concerned, all going in all sorts of directions.
It is also very strange that you have brighter streaks. That means areas of MORE density in those areas, so either those particular little streaks have gotten more development than the rest of the film, or some type of material has been added to those areas by accident.
While it is true that you should use fresh developer, you should definitely try fresh developer to see if that helps. I've been known to be wrong before. But if that doesn't solve your problem, I would very closely examine your squeegee.
Also, how do you agitate? I would recommend full inversions and not using the 'spinner'. By fully inverting the tank the solutions are mixed better. Initial agitation is important in this aspect too, to insure that the solution is properly mixed. And finally, stir the Rodinal fairly heavily before you either pour it into the tank, or if you practice lowering the film into the developer.
And just as a general observation, may I suggest using wetting agent before you squeegee?