1.If someone in my f2pool finds a block does our cut increase in size?
2.With a pps system are we getting a cut based on how often we leave our miners on?
3.Is pps a good payout for someone who leaves their miner on 24/7? if not, is ppnls?
4. If we mine a block ourselves and we are in a pool do we get a higher share?
#1 and #2 -- With PPS, you earn a flat rate that depends on your hash rate (but only while you are mining). You are paid whether a block is found or not.
#3 -- PPNLS is generally better because the pool fee is generally lower, but earnings will vary depending on the pool's luck.
#4 -- Some pools might give a bonus to the member that mines a block, but I think most pools do not.
The nice thing about PPS is you can count on a steady stream of BTC, but pools with this charge a certain percentage as they are taking a risk if luck does not equal 100 percent or more over time.
With PPNLS really the pool does not have risk of overpaying since based on blocks solved in part. So the lower percentage fee comes with possibility you might have bad day's and not earn as much. And on the flip side you could have great day's where you earn more. So the goal is that it comes out at 100 percent on luck over time.
A good site showing these types and what pools use -
https://en.bitcoin.it/wiki/Comparison_of_mining_pools . On number 3 it is really miner's preference there is no right or wrong anwser. There is reasons for both and that is why it is split. When comparing I suggest also looking at fee amount, if the merged mine, and also what pool does with transaction fees.