As far as LoTR magic works in this quest there are three things to keep in mind.
- LoTR magic is a Zero Sum game, you are using your soul to do and power this stuff, certain things don't eat up this power that is fundamentally you, like say talking to birds with wizardry or engaging in a battle of song, somethings however like investment are literally imparting part of what makes up you into something to power it, you can only do this so many times until you are a helpless ghost unable to act upon the world, and once that piece of you is gone it's gone for good. This is one of the reasons why magic is fleeting and slowly disappearing in the third age.
- LoTR magic can achieve feats that are vaguely defined and work more on concepts then on hard and fast 'this is what this does' terms, for example you can whisper to trees to encourage them to grow strong and hale or calm a mountain to stop an avalanche from starting, but you can't say a few specific latin words and blast fire out of your hands cause that's what the fire ball spell does, there are no spell names or cantrips to learn.
- The World is made of song, even the Warhammer world is made of this song stuff, that when combined and seen as a whole is a (mostly) wonderful orchestra. You can manipulate this song, and you can transfer parts of one song to another, but no one but Eru Iluvatar can fully create another song wholesale in this or any world.
Now what do those LoTR based Abilities listed in our character sheet mean?
Wizardry - Is a catch all term used to differentiate between warhammer magic and LoTR magic, if it involves manipulating the song that makes up the world, it is Wizardry. This can involve any number of things such as making horses run that ever bit quicker or ensuring that the rock hanging above the camp in the hills above falls that ever bit slower, it's super vague and weird, as a result of that a lot of times this will be mostly automatic things done during the course of an update, on occasion there might be an write-in that might involve the question "Can we do this with Wizardry?" the answer will always be maybe and subject to QM ruling, but it is an option to ask.
Investment - is the term used to signify imparting part of your song into an object, the more significant and well made the object is the better the investment will be, a ring made of iron in an poor farmers shop made with the same investment as the one used on the one ring would do almost nothing, that very same investment on a ring made of gold forged in the heart of mount doom, can control the hearts and minds of others, impart the ability to shape shift into a form not dissimilar to your "natural" form causing a sort of invisibility effect, among many other things. This can take on a number of esoteric forms, such as imparting the smiths cold personality into a sword causing it to freeze enemies struck by it frozen solid, or giving a pair of necklaces the essence of the makers natural beauty causing anyone who wears them to be considered unnaturally beautiful by others of their kind.
This is the one that you will be voting on most often, as it is intrinsically linked to you as a smith and will be involved with every crafting vote you have. Be aware however that this is also where the Zero Sum rules comes into play the most as every thing you put in to an object can not be put back into you, you will always have a limit as to the amount of yourself you can put into something. It is worth noting though that the power of the investment increases exponentially with the amount of yourself put into it, this allows you to put a little amount of whatever aspect of your self into an item instead of all that one aspect into one thing.
Song of Power - This is using the song stuff of your soul to sing into being very real effects, this can mean any number of things, such as routing armies with a song that imparts visions of dark wings and beady eyes, or dueling an enemy in what is essentially a magical rap battle reminding them of their worst failures and regrets, generally the zero sum rules stays away from this one, this is very vague as are most parts of the LoTR side of things, it's just unfortunately part of the fact that Tolkien's universe does not mesh well with an actual defined system with hard rules like warhammer's.
there are other things about it that can be answered on a case by case basis in thread, and I'll thread mark them in informational as they come but this is the most basic points that should help for now.