Also, I found the belt that runs the mower deck comes off of the front pulley. Can this be tightened or does that belt need to be replaced as well?
This will depend upon weather you have an electric PTO ( pull a button ) or manual PTO swing a lever.
With the former the belt is always tight and the latter the belt has to go loose to allow the blades to stop spinning.
In any case changing all of the belts is always a good idea as suggested check the old drive belt against the new one for shape, cracks & wear.
Note V belts wear thin across the V.
While it is off spin all of the small pulleys, they should be smooth & QUIET, if not replace them as well.
So it would be a good idea to schedule the work over 2 weekends.
The most important tool in your tool chest is YOUR CAMERA take lots of photos ,
Belt run, Spring anchor points and note the clutch spring is handed & must go back on the same way
Also note the position of the tension spring on the top pulley ( big one ) under the seat.
The whole system is reliant upon this spring.
On some the big pulley needs to be loosened ( or removed ) because it uses the sides of the mower as belt retainers so the belt can not come off.
This is best done with a rattle gun.
We are here to help so if you post a few pictures of the set up we can can direct you through the process step by step and the best place to start is the ID tag under the seat.
The videos from "Taryl Fixes All" & "Donnyboy" tend to ne the most accurate & easy to follow.
When searching use both Troy Built and also MTD as MTD made the mower and the exact same mower is sold under a dozen different names .