The 4110 will handle everything but the disc mower, but you can go with a more efficient drum mower for about what you can get out of your disc mower.
I have lifted 5x6 round bales with my loader with a box blade for ballast on the rear (though I guess you could use the JD 4110 instead).
I have lifted 5x6 round bales with my loader with a box blade for ballast on the rear (though I guess you could use the JD 4110 instead).