Now your plane losing lock on the irons, that is a problem you need to address now even if it's currently only showing up on oak. Any plane worth its salt should hold setting and if it's not adjustments need to be made until it will; unfortunately however it can be because there's a mechanical issue with the plane that you can't directly fix but instead will need to work around.
First thing I think of when this happens is whether the lever cap is not original to the plane. I've experienced this myself on planes that look to be all of a piece (generally on cheaper planes) but I've created the problem more than once when trying to assemble a Frankenplane/harlequin from disparate parts, so I'm on the lookout for mismatched parts being the cause now when I find it on a plane I'm inspecting.
Some lever caps just don't work right on some frogs. If this is the case with yours you may have no choice (for now) but to snap the lever cap down, then tighten the screw a 1/4 turn or so (however much is necessary) so that the iron assembly is held firmly enough. Remember this also means you have to loosen this screw every time the lever cap has to come off. This is a pain, but necessary because while you can lever the lever cap's lock up using the shaft of a screwdriver this is bad practice, it can eventually wear the the lock so that it won't work properly and in the worst case snap the top off.
First thing I think of when this happens is whether the lever cap is not original to the plane. I've experienced this myself on planes that look to be all of a piece (generally on cheaper planes) but I've created the problem more than once when trying to assemble a Frankenplane/harlequin from disparate parts, so I'm on the lookout for mismatched parts being the cause now when I find it on a plane I'm inspecting.
Some lever caps just don't work right on some frogs. If this is the case with yours you may have no choice (for now) but to snap the lever cap down, then tighten the screw a 1/4 turn or so (however much is necessary) so that the iron assembly is held firmly enough. Remember this also means you have to loosen this screw every time the lever cap has to come off. This is a pain, but necessary because while you can lever the lever cap's lock up using the shaft of a screwdriver this is bad practice, it can eventually wear the the lock so that it won't work properly and in the worst case snap the top off.