In my experience ripping with MC14 works fine. MJ14 is based on the same program code (I don't have the MP3 license for MJ). MC14 and MJ14 do not have any ripping or encoding settings that could cause a problem like you described.
Perhaps your problem is actually caused by the playback settings. Have you tried to play the problem files with WMP or some other player?
I would first check the "Do not play silence (leading and trailing)" playback option. It is intended to be used with Cross-fade. If you want to play the files gaplessly (i.e. exactly as they are on the CD) you should select "Switch tracks: Gapless" and uncheck the "Do not play silence (leading and trailing)" option. (you can access the options from the top menu: Player > Playback Options > Playback Options... > Track Change...)
try ripping in wma and then using dBPoweramp to convert the media...
Generally speaking transcoding from WMA (lossy) to MP3 is not a good idea (it reduces quality), but as a test, you can rip in any other format than MP3 (uncompressed wave would be fine) to exclude a possible problem with the ripping engine. There is no need to use dBPoweramp. Just play the ripped files with some other player to verify that they are OK.