I think you'll find it will do the mowing, the grading will depend on how compacted the ground is. Even the biggest L series tractor isn't very efficient at hard ground without tearing it up first.
I'm using mine for what I'd call light grading of loose dirt, using a rake with a drop down blade and gauge wheels, and a box blade with the digging blade off so just the "smooth-it-out" rearward facing blade is on.
I have an
L35 to do the heavy work and I'd caution others that for something to do rough ground work IMHO the BX isn't the machine for it. It's a great shuttle bug, for most things OK but if you are going to operate on rough or muddy ground it doesn't take much of an uneven surface to allow the belly of this little beast to hit the ground, and I am concerned (maybe erroneously) about those steering rods that are so close to the ground.
The seals will probably keep the crud out but coating the chrome rods in mud and then sliding them in and out can't be a long term good idea I would think.
For mowing I wouldn't anything else, low for the slopes, I still smile when I look at this darn thing.
If I didn't have the
L35 and to have a multipurpose machine and had rough or deep muddy areas to civilize I'd bite the bullet and get the next one up (
B2410?) Powerwise it is great, it's just a matter of height for rough ground or debris.