Do not mix brands of brass. Especially don't mix Norma and Lapua with others.
Lapua especially is manufactured using a slightly softer alloy and the wall is thicker. Therefore they are much easier to re-form and reload - resizing to a more consistent 'shape'. However, being slightly thicker in the wall, there is less volume inside so the same powder charge will result in a slightly higher pressure. Lapua is generally considered the best, with norma snapping at their heels.
Federal used to be a very well respected brand. Traditionally federal would calibrate their machines and start production of their cases. After so many hundred thousand, the tolerances would widen and they'd stop, change the stamping and then continue making cases (without altering) but this time they'd be for remington (and stamped so). Unfortunately at this time in high demand by the military, the US manufacturers are more concerned with volume than quality.
Many serious re-loaders won't use Federal now. However, does it really matter if you're only intending to shoot deer out to say 300yds?
Just don't mix up the brass - you'll end up with inconsistent pressures, large groups, etc
Lastly, put it in context