Swisher 44" mower starts and runs but engine bogs

when was air filter and fuel filter changed? are all pulleys turning free? spark plugs good? if everything seems good is motor wore out?

There have been issues with the bearing and the idler pulley on these machines. Here is a parts break down: http://www.searspartsdirect.com/partsdirect/part-model/Swisher-Parts/Tractor-accessory-Parts/Model-T11544/3291/1500230/P0708055/00004

sounds like a faulty safety switch

When you say 'going forwaed', is that while mowing or does it do it without the blades engaged or 'not mowing'?

THAY SHOULD MOOVE THE ONE THAT WONT MOVE NEEDS BEARINGS

is the belt tension adjustment on the lever that engages the blades?

I had the same problem twice. The first time happened when the blades were not swinging freely because they got gummed up with grass. So make sure your blades pivot easily.

The second time happened when the nuts came loose from the blade driver (the part underneath the deck that the large bolt goes through to hold on the blade assembly). I had taken the Swisher to a small engine repair place for servicing. They removed the blade assembly to sharpen the blades while it was there but put the old lock nuts back on without using any Locktight, so the nuts started to come off while I was cutting. Unfortunately, I did not notice this until after the blade driver got very loose and then got reamed out by the wobbling of the large blade assembly bolt. I had to replace the blade driver and its bolts and nuts.

Check the all wiring from the engage blade button back to the electric clutch for worn spots that may be grounding out on the frame.

You mention many PM issues but do not mention a blade sharpening. I don't get on my ZTR without a freshly honed blade installed. "That's" what cuts bahia grass...the blade. You can put all the horsepower you want behind the lade but if you're trying to cut grass with a 2X4 it rips more than cuts grass.