You may be underestimating the difficulty of the 2k. But if you train specifically for 2k, you'll need to start with a 2k test. Best get it done asap, it can help in setting your training paces at the various ratings.500 meter at 1:30 and 2000 meter at 6:30
In particular Mr Caviston in his highly effective Wolverine relates L4 paces directly to a 2k test pace.