First of all, don't push backwards unless it's soft dirt or snow -- the 3-point arms are not made to push. Doing that while attempting to cut into hard soil is a good way to bend/break your 3-point or bust the rear gearcase casting where the 3-point typically attaches. Plenty of threads here on TBN where people got into trouble doing this, some where the tractor was ruined when the gearcase was cracked open. I push backwards to clear snow with my rear blade, or to smooth soft soil with my box blade (with angle set to feather the cutting edges appropriately) but under no other circumstances. 3-point arms and their attachment points to the tractor are engineered to work under tension, not compression.
The box blade was invented to remove material from high spots and redistribute it to low spots. It can take a while to understand the box blade and longer to master it. Angle of attack is everything, and that is controlled by the top link. Shorten the top link to get more aggressive and dig, or lengthen it to smooth. Sometimes you have to adjust angle on the fly to get it right. A hydraulic top link makes it easy and really is the critical piece to making box blade work effective.
It's also important to use the float mode of your 3-point to keep the box blade in contact with the soil and independent of the tractor axles. If the box blade is raised out of float, it will move out of phase with the tractor -- front axle goes down, box blade goes up. Front axle goes up, box blade goes down. If you get into that situation, it's a great way to take a washboard surface and make it even worse. So make sure the box is down in float.
The box blade should be loading up with material when you go over high spots, and dropping the material into low spots. Again, angle of attack is key, and you may need to adjust on the fly to augment that process. Short toplink to dig and load up material, long top link to drop material and smooth/feather.
Sometimes it helps to make a couple rough passes doing this digging and redistributing, then make longer passes to smooth. Just depends on the size/spacing of the bumps relative to the size of the box blade. Also expect that the material you have scraped off high spots will be soft/loose when it drops into low spots, so compacting it with the tractor wheels and then making additional passes to complete the grading and smoothing may be required.