Litecoin difficulty and reward
The latest version of Abe supports getdifficulty, so you could run it yourself or convince the explorer administrator to upgrade.  But this will be the difficulty as of the last solved block.  I would expect "litecoind getinfo" to give a more accurate number during difficulty adjustments, and this does not require Abe or a website.

As for the block reward, Abe lacks bcperblock.  Perhaps the easiest route is to get the current block number (also available via getinfo) and calculate the reward.  According to litecoin.org, the reward starts at 50 LTC and is halved every 840,000 blocks.  In Python:

def reward(blocknumber):
    return 50.0 / (2 ** int((blocknumber + 1) / 840000))


Adding 1 to the block number gives you the next block's reward, which is what matters to miners.