Make a bard! (It's my answer to most questions!) Their Inspire Courage performance is a solid buff to any weapon users, they have lots of spells that can shut down enemies, being a Charisma-based character makes social skills a cinch, and they have access to the cure line of spells. Even a Core rulebook character could handle all these things, but extra options such as archetypes can help to expand them.
For what you're specifically looking at, I would consider using the archivist archetype, as it will buff some of your options for debuffing, skills, and buffs (including adding an AC boost to your performance that Inspire Courage doesn't have). The archivist bard I made as a GMPC for my Rise of the Runelords campaign was a group favorite for all the utility she brought.
That is not at all too much to ask from a single character.
Also, if you're new to Pathfinder and trying to navigate all the options, this chart is very useful.
So, let's look at this chart together. Usually, buffing/debuffing/control characters are full casters, because everything they do needs spells to work.
In addition, you want the character to have skills. Full casters generally don't have tons of skills, but we can help with this by having your casting stat be Intelligence.
We probably also want to be prepared casters, rather than spontaneous. This allows us to have a large bag of tricks that we can draw from, rather than being limited by only having a couple of spells known.
This leaves us with Wizard, Witch or Arcanist.
Witch has the benefit of being capable of healing.
Arcanist has the benefit of being most like 5e DnD in terms of how it's spellcasting works.
Wizard has the benefit of being a Wizard. I would suggest the Enhancement subschool of Transmutation magic. Seriously. They are good at this. Also, you can take a feat that allows you to use healing magic items, even if Wizards typically can't use them. Magic items are much more important in Pathfinder than in 5e DnD.
EDIT: The fest is called Alchemical Affinity.
My favorite healer is the Soulthief Vitalist... you literally heal your party by dealing damage to your enemies. The more damage you deal, the more your party heals.
A Cleric isn't a bad choice here, either.
A Cleric is a full Divine caster.
Has a decent set of class skills.
Has a use for Charisma, to help with the soft skills.
Can buff and heal.
Has two good saves.
And is 3/4 BAB.
But I definitely agree that you should build a Bard.
I've only played a Vanilla Bard and an Arcane Duelist Bard.
The Arcane Duelist is much more combat focused, but can still buff with the best of them. I'm having a lot of fun with a Longspear and the Banner of Ancient Kings.
As far as races go...
Humans get the bonus feat, which is quite helpful to a Bard, although not completely necessary. You can pick up Low-Light Vision via Heart of the Fey, which is an alternative racial feature that replaces Skilled.
Half-Orcs have alternative racial features like Sacred Tattoos and Shaman's Apprentice... which gives a +1 Luck bonus on saving throws and the Endurance feat, respectively. They also have Darkvision. That +1 Luck bonus can be boosted to a constant +2 to all saves with the Fate's Favored trait, too!
As I said before, the archivist bard is a pretty good archetype for the performance it uses in place of Inspire Courage. It does require some investment in Knowledge skills, but with Bardic Knowledge and a reasonable Intelligence that's not hard to pull off. The Arcane Healer, Solacer, or Songhealer could all buff your healing ability, since you said you were interested in that. Besides that, if you see another archetype you like the idea of, just check to make sure it doesn't interfere with spellcasting or Inspire Courage and you're probably ok.
Fortunately, races with Charisma bonuses abound, so there's lots of options that'll buff that aspect (and it sounds like you'll want to focus on Charisma). Aasimar in particular have lots of subtypes with Charisma bonuses, as well as buffs to Diplomacy. (Peri-blooded aasimar, with +2 Int and +2 Cha, has probably the ideal stat buffs, if you aren't intending to mix it up in melee much.) As Voodist said, human is also pretty much always a good choice, with the flexible bonus and extra feat. (Speaking of feats, Extra Performance and Expanded Arcana are solid possibilities.)
If you want to go Skald, there is a guide for that, but it is four years out of date
https://docs.google.com/document/d/1lHp_ioueUwkoZzxBKYg4ha3uVV07K8RNngL4J5E qtYU/edit
For races, if you want to go Strength/Charisma, Suli is really good, those elemental resistances can be really nice to get.
Someone should tell OP before he does too much planning that picking an archetype for a class progresses the archetype for that class at all levels. There is no cherry-picking levels to get the class abilities you want from the base class and an archetyped version of that same class. If you play a spell warrior skald, you do not get spell kenning.
As Scott says, any levels you take in a particular class will have the same archetype(s). You don't get to pick and choose which levels do and don't have it. Each ability of an archetype isn't always balanced with the specific ability it trades for; the balance comes from all the abilities that are traded out.
The Cleric (Evangelist) also gets bardic inspiration, but is a 9/9 caster rather than a 6/9 caster. They get a lot more healing than a bard. Having high CHA helps with channeling, so that is a good synergy. Their spells can help out with combat: Bless, Prayer, Blessing of Fervor, and Hunter's Blessing. They all stack, including the inspiration.
For debuffing, Prayer is the main one, as it applies to multiple enemies. But they do have a lot of single target spells like Bestow Curse, Blindness/Deafness, Shadowmind, Baphomet's Blessing, Calamitous Flailing, and Shroud Of Darkness.
/cevah
Bard and Skald are the two best buffers.
Bard is fairly generic, and skald is good if you have a lot of melee, or animal companions.
The key to a buffing pc is this. You have before going into the dungeon, and roughly 2 rounds for most encounters for your buffs to matter.
If you throw a buff on turn 3, in a combat that ends on turn 4 or 5 youve likely wasted that buff. Thats a big reason bards and skalds (and to a lesser degree magi) tend to top charts for buffing, after a bit they can start a song and throw a buff turn 1, then be in combat turn 2 or 3 depending on if they need another buff.
The other aspect of a buffing pc people forget about is that they work best with a lot of divination and scouting. If you know theres gonna be fire damage, you can occasionally trivialize entire encounters by leading with resist energy before you even enter the dungeon.
Thats the other reason bards and skalds tend to be great buffers. They're cha based, so naturally decent at using diplomacy to gather information, and their spell lists have a lot of divination on them for a 2/3 caster
The other aspect of a buffing pc people forget about is that they work best with a lot of divination and scouting. If you know theres gonna be fire damage, you can occasionally trivialize entire encounters by leading with resist energy before you even enter the dungeon.
My Cleric (Evangelist) uses Guiding Vellums to do this.
/cevah