YES, you can track the names of people yolu have exchanged money with for up to 45 (?) days.
1) Login at at secondlife.com
2) on the left side click on 'account'
3) on left side click on 'account history'
4) you will see "These are your US$ billing transactions for the previous 45 days. For your Linden Dollar (L$) transaction history, please click here"
5) obviously click 'click here'
6) select the date range and wheter or not to exclude 0 linden transactions
that should help identify people /places where money was exchanged. If you want to keep those record, copy and paste number into your own spreadsheet (openoffice is free btw)
If you have an issue, first try contacting that person to resolve the issue. You may wish to save your IMs if you do not already. If there is still an issue you might try contacting lindens or filing an AR if there was a violation of TOS but dont count on that resolving anyhting