Sidney,
I use the N1MM Free Contest Logger
www.pages.cthome.net/n1mm. It has a general QSO mode that will do what you want, and will log your QSOs. You will need to build a simple interface between your COM port and your rig. Directions are in the manual.
Another approach that does not require a computer is to use the K2 or K3 keyer which has several memories, and keys the rig with no external interfaces required. See
www.idiumpress.com. This is a very popular memory keyer.
Congratulations on getting your General ticket!!!
73, Jim W4YA