The first I prayed on in game and was advised to post to the bug board to get a confirmation. The prayer of restoration spell requires a target, but when you cast it without a target or target yourself and succeed at the spell cast, but are told, you need to cast it on someone else, however it is still possible to improve the spell. It does consume mana, so it's not purely exploitable, but I did not want to raise my skill in this fashion if this is not intended.

The second I'm unclear if should happen with Firstaid - When having a hemorrhage from a dragon bite, I successfully stanched my wound using firstaid, but then continued to bleed with the same damage verb and no decrease in the duration of the bleed. I thought it noteworthy to mention I had the lightning effect from breath weapon in effect at the same time, if in fact getting a success on Firstaid is supposed to in a significant manner impact bleed effects.

wilderness <snip>
Noticing that you are still bleeding some, you wrap your most severe wounds in makeshift bandages to
stanch further blood loss.
You have become better at first aid (78%)! (100% learning bonus)
Agony strikes as electricity surges over you, drawing your muscles taut!
Your arcing lightning scratches you.

You are affected by:
Commune: 'crusade' modifies save vs spell by -8 for 33 hours.
Commune: 'crusade' modifies hit roll by 4 for 33 hours.
Commune: 'essence of charity' for 18 hours.
Commune: 'protection from evil' for 14 hours.
Physical effect: 'hemorrhage' for 10 hours.
Commune: 'detect evil' for 10 hours.
Commune: 'bless' modifies save vs spell by -8 for 8 hours.
Commune: 'bless' modifies hit roll by 4 for 8 hours.
Skill: 'fly' for 6 hours.
Skill: 'stone skin' modifies armor class by -40 for 6 hours.
Commune: 'detect invis' for 5 hours.
Commune: 'sanctuary' for 2 hours.
Physical effect: 'arcing lightning' for 0 hours.


wilderness <snip>

Autosaving.
Lightning stops surging through your body.
Blood continues to seep through your bandages.
Your bleeding hits you.

1) That's how a number of spells work, and that's okay.
2) It doesn't necessarily drop the bleeding *a lot*.