Grade, and tire type will affect your ability to push snow.
My property is flat, and I have turf tires. I also leave the backhoe on for ballast.
If you have hills, and ag tires, it will be more challenging.
As far as pulling snow goes, I haven't tried. But clearly, you will create traction issues if it is deep enough to build up behind you.
If you need to, you could also cut the plow down so it is not as wide.
You may also find, the three point hitch is not set up to be able to lift the blade very high. This is because subcompact tractors need a slightly modified version for maximum performance. This is generally referred to as "BX" series implements.
You can modify the attachment points to make it work better on your tractor, if necessary. Such as, moving the attachment pins, on the bottom, to the inside of the a frame.