Nothing wrong with Remington bullets. They are as good as any other non premium bullets. They may or may not do well in your particular rifle, same as any other bullet. Cheap as they are, they are well worth a try.
In the two calibers you mention, you will hardly be looking for the finest possible target accuracy, so they should do you fine. Something else might or might not shave a quarter inch off your hundred yard groups groups, but that's true of almost any bullet.