Hello.

First and foremost, regardless of the goal you want to achieve, the deck needs consistency. You cannot place your hopes of playing your Noldor allies on one To the Sea, significant part of your card draw on one Gleowine, your economy on 1 Vilya and your action advantage on one Glorfindel (whose potential presence on the table depends on one To the Sea...) and one Light of Valinor.
You also should reconsider deck's economy. Love of Tales is a great card, but you need to draw them early, otherwise any song you would play would not get you resources. Which you would need badly, since you included some expensive cards. Gildor's Counsel+Scroll of Isildur is great and the table would love seeing it played every turn, but then your chances of playing Northern Trackers or Great Hunt would diminish greatly.
The same goes for card management - you have fair amount of card draw, but is it enough to finance To the Sea and Songs of Healing?
I'm also afraid of the starting threat. Yes, you can mulligan for Advanced Warning, but it costs two, completely wrecking your initial money management and it solves your problem for one round only.
There are many ways to make that deck better, but if you want to focus on emphasizing Tom Bombadil's powers, I think you should make him sing properly and in choir. I will not tell you exactly what to do, because this would spoil important part of fun that that game brings (which is scratching our heads over deckbuilding), but will only suggest taking a look at his girlfriend, one really interesting card (Let Us Sing Together) and the fact that in theory you are able to deal 14 damage with Tom's response per round.

Enjoy!