When using the Lie spell from the illusion path, does the mage have to recast the spell for each lie he wishes the audience to believe or does he just cast it once and maintain it and have the ability to lie multiple times under the same spell? In other words can one maintained version of the spell cover as many lies as he wants or must he recast the spell in order to submit a new lie to the audience?

Likewise if the mage maintains the homunculus spell from creation does he maintain the specific number homunculus he made at the time of the cast or is he maintaining the ability to freely create those homunculus up to the number the spell allows anytime he wants? For example if he creates 4 homunculus and then 1 gets destroyed and he wants to recreate that 4th again, does he have to recast the spell or can he just create it whenever due to maintaining the spell?

While the wording for the English Core is a bit ambiguous about Lie, the Spanish version of Core Exxet is not.

"Al lanzar este conjuro, el ilusionista induce a todo aquel que le escuche a creer sus mentiras, por absurdas o ilógicas que sean. Eso no significa que los afectados deban necesariamente obedecerle, pero sí se sentirán empujados a creerle. Cada vez que el ilusionista diga una mentira, quienes le escuchen deben superar una RM o le creerán. En el caso de que la mentira sea excepcionalmente increíble o un individuo esté prevenido hacia esta habilidad, puede aplicar un bono de +40 a su tirada" (CE 169).

For those of you who don't speak Spanish, or who dislike how haphazardly Google translate does things, here's what that says.

"Once this spell is cast, the illusionist induces all who hear him to believe his lies, no matter how absurd or illogical they seem. This does not mean that the affected have to necessarily obey him, but they feel obligated to believe him. Each time the illusionist says a lie, those who hear him have to pass an MR check or they believe the lie. In cases where the lie is exceptionally incredible, or an individual is warned about this ability, they apply a +40 bonus to their check."

While I took a minor liberty or two with the translation (including some minor shifts in subject-verb agreement to avoid bland sentence structure), the heart of the description is exactly as I translated. As you can see, the caster can tell as many lies as they like, with the MR check occurring each time a lie is told, as opposed to every hour in the original version. One could also have characters able to roll every hour for old lies, but that could be a lot to keep track of as a GM. As it stands though, that's the way the newest version of the spell works. If you want clarity on the old one, I'm afraid I can't offer that since the language is ambiguous at best.

As far as homonculus goes, a destroyed being is destroyed. In much the same way as you can't maintain a destroyed shield, or a destroyed pair of tweezers, you can't maintain a destroyed creature to suddenly bring it back to what it once was. I could go find and quote precedent, but I think common sense is easy enough to dictate the right way of going about this one. Especially since the text for the spell in both Spanish and English doesn't suggest that the creatures regenerate in any supernatural way.

Hope this helps.

It did help thanks TyrHawk. Are there any poorly translated sentences with the free access spell levitation sphere? If it is being maintained does that 80 foot radius just follow the caster around or would he have to recast it?

As far as I know, spells centered around a specific person/object follow that person/object. It's not exactly poorly-translated, but while the English isn't fully clear, the Spanish does say "Hace levitar todo lo que se encuentre comprendido en un radio respecto al hechicero" (CE 188) or, in English "It (the spell) can levitate all it encounters within a radius around the caster." So... that's what I'm going with.

There are other possible interpretations of certain rules regarding the area of effect spells, but nothing official that I can find. So... grain of salt, I suppose.