There are bikes that would possibly get you there faster, but if they're less comfortable to you, you're less likely to ride it.

I would recommend just getting some more time on the bike. You will begin to learn what you do an don't like about it.

Getting seat time on other bikes would be useful as well - preferably something more than a spin around the bike-shop parking lot.

No, you don't need to buy a different bike to commute though.