I think its possible to do a spell to get more in touch with nature and your animalistic side, but becoming an actual wolf I don't think so. And flying I think could be achieved with astral projection depending how you astral project. I personally walk and transport but I hear some people can 'fly'.
Spells can work at any time. If the moon is growing (waxing), do positive spells or spells that draw a desired effect to you. If it is getting smaller (waning), do negative spells or spells that send away a certain effect/situation from you.
For instance, let's say u want to attract good luck. If the moon is waxing, you can do a spell to attract good luck, if it is waning, u can do a spell to banish bad luck.
Since you are using the energies of the moon, nighttime is better since you can directly draw it down however it can be done in the day as well, just visualize it happening with your mind's eye.
Yes you can a spell anytime of the day but it depends on what type of spell you are casting for instant there are some spells on this site that you may only cast during a full moon as it has to do with its energy and light. So it really depends on what type of spell you are casting. Also growing wings, being a werewolf spells are fantasy spells and do not work
Wanting to become a werewolf is like asking to have lupus and rabies at the same time. Twighlight has glamorized it unfortunately. Watch some older werewolf films and then let me know if thats realy what you want.