Yes. 1,333,333 LQTY will be rewarded from launch (April 5) over the course of 6 weeks to LPs of the LUSD:ETH Uniswap pool.
There are no immediate / public plans for additional LP rewards after the 6 week bootstrapping period.
Users can earn LP rewards by doing the following:
Add liquidity to the LUSD:ETH Uniswap pool, and get UNIv2 tokens in exchange
Stake those UNIv2 tokens into Liquity's Unipool rewards contract through a Liquity frontend
Accrue rewards proportional to the amount of staked tokens and staking time
Liquidity providers can unstake UNIv2 tokens to exit the program (i.e., stop earning rewards) when they want.
If your frontend of choice doesn't support LP rewards, try looking for another in the liquity.org frontend registry.
No. Kickback rates are only associated with Stability Pool deposits.