Doubt isn't necessarily a bad thing - sometimes moving through a crisis like this makes us stronger. I'm impressed that you are aware of issues in your playing that need improvement - many musicians don't realize those things.
One thing I've learned is how important it is to LISTEN. Don't just listen to the bass, listen to all the instruments and find how the bass fits into all of it. You want to develop your technique not so that you can play fast or impressive stuff, but so that you can play what you hear and feel in the music. I'd almost go so far as to say that it doesn't matter what you play, as long as you are listening to the music and not getting in the way.
As far as time goes, I have found that each note isn't so important, it's more like feeling these big blocks of time - they're almost like pillows, it's a pulse or a thread through the music. These blocks might be one measure, maybe two. Then you plop your notes down where they need to be, whether following the kick or snare or where the kick and snare don't go. That's why moving your body, whether bobbing your head or tapping your foot or dancing, helps - feel that pulse, those pillows, and put your notes in the right spots! And you can figure out the right spots by learning the basslines of the masters, but also listening to the entire song and seeing where they decided to put their notes.
One of the best things you can do is play with people better than you. Difficult under current circumstances but something to keep in mind. Playing along with albums (mp3s, YouTube, whatever) can't hurt. The main thing is - PLAY! Whether it's practicing basic stuff or having fun playing along with stuff, if you don't play you won't improve.
Finally, there are plenty of people that go to college and end up working in fields that have nothing to do with their majors.