Assuming that the AOL problem is not your problem... (A fairly big assumption, heh ? ...

Check your settings to see how many DownLoad and UpLoad 'slots' you have configured...
For you, it should be 1 of each... No more, and ignore any bs that anyone tells you about how you can do more...

If it is allowed, disable 'Allow others to Browse your shared files'.

Allow connection to a Maximum of 2 Ultrapeers.

You have not said how many files you are sharing...
If it is a large number, reduce them... (Easy to select what you can easily stop sharing by simply searching for the same files that you are sharing - Remove the ones that many other users are also sharing and just stay with the things you have that are more 'rare'...)

Do NOT run large numbers of searches at one time...

Right-Click on the Task Bar on the bottom of your Windoze screen and select Task Manager...
Using Task Manager, check to see what other programs/applications are running at the same time as LimeWire...
You may have things consuming your bandwidth...

For the same reasons, do NOT also run and participate in IRC chat, avoid Web browsing... Well, just simply don't actually do anything else while you are trying to run a p2p client with a 56k Dial-Up connection !

Saw you looking at the Alternative Ports Thread...
Be sure, if it is possible, to be connecting with Port 6346...