How many hands have you played in the last year? It is hard to say if one could have a losing streak over a year without the number of hands. $2,000 at $3/$6 is only a little over 300 BB. My biggest downswing that I have record of was around 200 BB over the course of 7,000 hands. Losing $1,000 or $2,000 at $2/$4 or $3/$6 does seem like a lot but without knowing the number of hours or hands you've played I would say it is definitely possible to lose within that range at these limits. I like to look for ways to improve my game whenever I hit a losing streak. If you have PT stats, you could post those for some helpful advice.