Hi, I was hoping for this sort of feedback, so thanks for the idea. I looked into Feywanderer last night and decided I liked the out-of-combat aspects of it with charisma. I have a high enough charisma that I can take Bard as a subclass later and ignore everyone telling me not to, lol. It just feels funner.

Im gonna take Bard (Collage of Eloquence) to get silver tongue at level three. iv tested it out by playing around with my character sheet, and by the time I'm level 8 (I know a while away, but our DM said we would get to level 5 by session 8, I have to pre-plan this), I will have a +10 to persuasion and deception and with silver tongue, I can't roll below a 10 on these two skills. That makes it so I can't get below a 20, even with a disadvantage on these two skills, which, funnily enough, are my two favourite skills to play with. Essentially it would be almost impossible for me to fail a deception or persuasion roll, which makes it fun for me. I might not be the main hitter in the party, but I would be relied on for persuasion and deception, which are fun as well, especially when we are in the Underdark, and I'm a wood elf. The wizard is another species that looks like a drow but isn't (I can't remember the name). Because of this, he brought a disguise kit and used it, with my help, during the last session to make himself look like a wood elf above ground so he didn't get into fights with randoms because they thought he was a drow. I think we can do the same thing for me when we are in the Underdark, where most of this campaign will happen, most likely helping my deception and persuasion skills in most circumstances, I hope...

I would decide what way you want to go (archer or melee) before taking your spells.  If you go archer still then ensnaring strike is great and zephyr strike is good for the advantage, extra damage and ability to shift position afterwards but you are basically ignoring its greatest potential benefit - being able to ignore opportunity attacks for up to 10 rounds. Spells at low levels are problematic for rangers as you only know 2 or 3 and only have 2-3 castings a day so they are a very limited resource that has to be very carefully spent. The same is true the favored foe ability - 2 uses per day as it is a long rest recharge ability. For that reason I prefer favored enemy - especially if you know the campaign location as you do in this case - underdark. Taking favored enemies - humanoids (elves and dwarves) gives you advantage on most rolls for info, tracking, etc for Drow (elves) and duregar (dwarves) as well as a language (Dwarven) then deft explorer gives you 2 more languages ( maybe goblin and orc to have the 4 major “underground” races covered. ( I also take perception as my “expertise” skill from deft explorer raining my passive perception to spot ambushes as I travel). 
back to spells after that long digression. For a melee ranger, especially one not a two weapon fighter, zephyr strike is great making use of all its features ( especially if the DM will let you use its “power round” at any point during the concentration and still keep the concentration and blocked opportunity attacks after using the power round. But ensnaring strike is less useful (though still effective a the 1 strike you get). You might want to consider other spells including cure wounds as your second spell. The 1 HP of a good berry will get you back up for a round or two (until you next get hit) but the 3-11 HP of cure wounds could really put you back into the fight when the party really needs you and a low level cleric doesn’t have many cure spells either so …

I'm a little confused, but I like the idea.

So when I get to the next town, I sell my leather and shortswords for 15gp altogether and use the 100gp we got for getting our client to the town to buy a shield and a chain shirt as well as two rapiers for 110gp. From looking and adding to my character, that will get me an ac of 17 which is pretty good. What I don't know, however, is if I took dual wielding and I'm wearing a shield on my arm, can I hit twice and then hold the shield on my arm? Or do I lose the AC buff if I hit twice? I do know that in the last session, I learned that if I put my bow away and grab my two short shorts, I was only allowed to attack once. 

I don't know how you get the AC to 19...

My Base ac with no armour is 13. With the chain shirt, it becomes 15. With the shield, it becomes 17. Even if I took Defence, it only gets to 18, which I kinda don't think is worth it for a fighting style. I'm currently going to take druidic warrior, as that works with Fey Wanderer really well and matches my character background; I'm gonna take guidance and produce Flame as the two cantrips.

Also, my stats are as follows:

STR 8, Dex 16, Con 12, Int 10, Wis 16, Cha 13

I don't know if that changes anything.

I agree. I think we need someone who can be both melee and ranged, so it's a bit difficult to choose, which is why I like the idea of a high AC fey Wanderer who can charm or deceive her way out of most situations. We are also playing with flanking, so in some cases, being a melee fighter would be very helpful. I still want to shoot with a bow when the enemy is at a distance, however, as I don't think my character is someone who would run in unless their party is in danger. I have picked Zephyr Strike and Cure wounds as my two ranger spells and guidance and produce flame as my two cantrips because I took Druidic Warrior. 

You can’t both use a shield and two weapon fight it’s either/or. With the chain shirt your AC would be 15, the shield brings it to 17, defensive fighting would bring it to 18. This is why taking the defensive fighting style is so useful. The idea of going bard is interesting, however, as a ranger you really want to get to L 5 fairly quickly for the 2 attacks which would mean delaying either the bard or the second attack. Because of the way spell levels add when multiclassing , as well as the deft explorer roving benefits, you probably want to go to ranger 6 before you’re done with ranger. Also rapier is a finesse weapon but not a light weapon which means you can’t dual wield it without the dual wielding feat so it’s basically either take two weapon fighting with the dual short swords and no shield (AC16) or single attack with the rapier and shield (AC 17). Some things to consider for the future - which class is going to be your primary? If it’s bard then your going to want that L8 ASI to boost your charisma, if it’s ranger then the L8 ASI  could be used on something like medium armor master to get a further +1 to AC. You can also let the DM know that your dreaming about finding serpent scale armor (magical AC 14, uses the full Dex bonus to AC and no stealth disadvantage) or Mithril half plate (AC 15, no stealth disadvantage) after level 5 two weapon fighting’s utility tends to drop off and rangers start to focus on spells a bit more .