Thanks for the info!
Sorry for the delay, finally got some nice weather to pull the tractor back out.
Mower:
Model - 137220100
Serial - 120580
B&S Engine:
Model - 281707
Type - 0134-01
Code - 87031811
The carburetor well and float are super rusted inside. ordered a new well, float, fuel pump, and fuel filter. Hoping I can just blast the jets clean with some cleaner and a compressor. Really hope I can get this thing going this week! Then I'll worry about the brakes.