Suit quality is important. A good rule of thumb is that you should have 2 of the top 4 honours. Intermediate cards are also important. KQ10975 is better than KQ5432. Having opened a weak 2, you should not bid again unless partner makes a forcing bid. Partner has enough information to know what to do.
A weak 2 opening shows less than an opening hand so responder needs a good hand, or good trump support, to enter the auction.
With 3-card trump support it’s worthwhile raising partner, even with a weak hand, to make it harder for opponents to know what to do.
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