1. No, they will be given entry clearance on arrival
2. Not mandatory but you can do this saying they will be staying with you. Providing a copy of your visa/residence permit would be good.
3. Yes, but in rare situations they will be asked to provide evidence of their ability to support themselves and ties that motivate their desire to leave after the vist.
4.
I can but they are not case specific. US visitors who appear to have independent means tend to get a more lenient approach than passengers arriving from the developing world who may be relying the financial sponsorship of the UK resident they are visiting. However, in these recessionary times anything goes.