With all due respect to Graham who is giving valid information for down under - every time you post it muddies the discussion of how things work in the US.

Bob - ASCAP and BMI would not appreciate your having a song registered to both of them. They would be fighting over who got to collect the royalties on the song.

Do I have to log them in with anybody ?
In the US there is no program of logging them in. The payout is based on the airplay and has nothing to do with the live performance.

Do I have to list (sorry Brian) my own songs ?
Since there is no list, obviously not. However, you should know that the venue would be required to pay the licensing fee for you to play your own songs if the songs are registered with the PRO. An example of when musicians actually paid attention to this - if I remember correctly - there was a huge negotiation prior to The WHO farewell tour over the amount of royalties being collected by the PRO's since the standard agreement for large concert venues is a percentage of ticket sales (a significant sum for that tour). The band was playing their own songs which were registered to one of the PROs. The licensing fee collected was going into the general PRO pool. The royalty payout as always was going to be based on air play at the time (and The Who didn't have any songs high on the charts.) They knew they were only going to see pennies on the dollar for playing their own songs. If memory serves correctly the settlement terms for the tour were not disclosed.

Marty my home

Experience is that marvelous thing that enables you to recognize a mistake when you make it again!