The main issue with saving before the deadline is that any allowance you don't use before April 5th is lost, so if you were planning to invest more in the next tax year you've potentially lost out. If you were going to save a total of £1,000 it would make almost no difference if you put it in this year's allowance or next (see below for the actual amount. If it means you might miss paying a bill or eating some meals it wouldn't be worth it.
If on the other hand you are planning to make full use of next year's allowance (a hefty £5,100 if you're over 50 or £3,600 if under) anyway then it might make sense to take advantage, but not if it means incurring other expenses.
As far as how much you'll earn in the remainder of this financial year. The 2% interest is the APR, so you would earn £20 if you invested for the whole year. Given the late stage of the current tax year you'd actually earn about 1 weeks worth of interest, or about 2% of that 2%.This works out at about 40p. You'll earn interest on that amount in future years as well though.