Hello Eric,
The 2100 is a model of the carb. Here is a great link that I think will help
Autolite 2100 Carburetor Rebuild
The other fuel filter near the oil filter is probably a filter before the fuel pump. If you replace that I would suggest getting a clear filter so you can see what it inside. Good idea to replace it and they are inexpensive at places like "Wall-Mart"
It is hard to say what is causing the hesitation because there could be problems with a tune-up etc. but rebuilding the carb will only help and is pretty inexpensive.
PLease ask your questions. I am not always on the forum but I try to check every day. So yes I am serious and there are so many others here who like to help others enjoy this great hobby.
Check out the link. Also...get to know your parts guys...they often can be a great help......Print Dad