I agree, having heard that clip, you're doing really well. You're tending to stress the offbeat, which may or may not be intentional but it gives the music a nice lift and bounce.
What I said about crossing rows etc is, of course, not relevant to a one-row but will apply to your new two-row.
For the moment I don't think there's anything wrong with sticking to simple tunes with a predictable bass pattern, just while you get the hang of playing two-handed. Once that's starting to become automatic, you can start to consider refinements as to your choice of basses. As Q says, you're on the way and it will soon seem more natural to play with both hands as you move on to other tunes. With many instruments, there's some "unlearning" of early habits to do before you can move past a certain point, so just hang in there and tell yourself that even if it feels like two steps back and one forward, it it in fact real progess.