Looks like we've identified the dataset issue, now to figure out the GPS problems. If you're only showing GGA sentences, that is probably the problem. A typical valid log will look more like what I've copied below.
Is there any application that came with the modem that you can use to see satellites acquired, data coming in, etc? Usually, some freeware is bundled for setting up and troubleshooting purposes. If not, Franson GPSGate is great for a free 15 day trial.
$GPGGA,212332.000,3403.4618,N,11711.7768,W,1,07,2.3,391.1,M,-32.5,M,,0000*6E
$GPRMC,212332.000,A,3403.4618,N,11711.7768,W,0.00,,090708,,,A*61
$GPVTG,,T,,M,0.00,N,0.0,K,A*13
$GPGGA,212333.000,3403.4618,N,11711.7768,W,1,07,2.3,391.1,M,-32.5,M,,0000*6F
$GPGSA,A,3,07,27,03,08,13,25,23,,,,,,3.2,2.3,2.2*3F
$GPGSV,3,1,12,13,75,011,38,25,62,357,40,23,57,114,38,07,56,313,41*79
$GPGSV,3,2,12,27,50,304,37,03,29,084,27,08,27,277,26,19,24,117,24*7D
$GPGSV,3,3,12,06,22,068,29,16,11,041,26,20,10,175,17,28,05,216,*73
$GPRMC,212333.000,A,3403.4618,N,11711.7768,W,0.00,,090708,,,A*60
$GPVTG,,T,,M,0.00,N,0.0,K,A*13
$GPGGA,212334.000,3403.4618,N,11711.7768,W,1,08,1.9,391.1,M,-32.5,M,,0000*6E
$GPRMC,212334.000,A,3403.4618,N,11711.7768,W,0.00,,090708,,,A*67