Hi and welcome to Eorzea!
Since you've been given all these informations, you seem to be coming down to a decision already. However, since I haven't seen any Archer/Bard specific posts, I'll just chime in to lay out some information on that class for you, in case you may want to try it out later.
So like all classes, Archer is your starting class, and when you get to level 30, you unlock the Bard job. In order to unlock Bard, you do have to level Pugilist to level 15, so you're pretty much forced to try out that class as well. Anyways, let's get started.
Archer pre-level 30 is mainly a DPS class. It has a much lower damage output compared to other DPS classes. That's the offset of this class, however, it does have 100% uptime on damage output due to it being a Ranged class, and still be able to attack while mobile. So this class is pretty useful for AoE-heavy fights.
At level 30 when you unlock Bard, it's still heavily a DPS class, but as you progress further in level and content, Bard will start to lean towards being a support class. In other words, in end-game contents, you're playing support more than half the time. Bard has songs that lowers its damage output by 10-20% while active, by boosting caster classes' DPS/help Healer's MP regen. Examples: Black Mage, and White Mage respectively.
Bard also the role of inflicting "Silence" in end-game for interrupts.
So that's the general gameplay of a Archer/Bard. Hope this helps you in deciding, and good luck with whichever path you decide to take!
