How do you get the links indexed fast?
it's hard to index anything nowadays, much less index fast. Big, authority sites (like BHW) have their posts indexed within seconds, but for everything else it takes weeks or months. Some folks are using google news approved websites, others are using the google API but I'm not using these methods, so I can't say how they work. You'll have to research this on your own
What kind of links to use for tier 1? is it just social media? (fb/ig/twitter/yt/pinterest) ?
PBNs, niche edits, guest posts... in this order. If you're getting the right backlinks PBNs are simply the best links you can get (but you'll have to own the PBN for this to work). These 3, along with social media links, quality .edu / .gov links, and foundation links (links from high authority sites like issuu, adobe, soundcloud, etc.) are still safe to use as T1. Everything else (wikis, article directories, web 2.0s, blog comments, bookmarks, etc.) do not offer too much SEO value, if at all, so use them as T2 and T3 links
And how many links are needed to tier 1
there's no number written in stone. If you're doing your keyword research properly (and are able to find long tail keywords that no one targets) you can rank without a single backlink. For all other keywords (especially in tough niches like medical, finance, travel, web hosting, online business, legal, etc) you'll need tons of links (and powerful ones, too) and even then you'll have to wait to get ranked, possibly years if your competition is made up of big financial institutions and banks, lawyer bureaus, consultancy firms, SEO agencies, or whatever. You just can't beat those with an affiliate website without pouring good chunks of money into your SEO and waiting 1-2 years at least....
So, the number of links depends on...
1) the niche you're in
2) the type of keyword (long tail, broad, etc) you're targeting
3) the intent behind the keyword (in general, keywords like "buy [whatever]", or "top 10 [whatever]", or "best [whatever]" are buyer keywords and buyer keywords are harder to rank for because they are profitable and everyone and their little sibling is targeting them, making the competition for these keywords fierce. If you're targeting informational or question type of keywords the competition is not so high and you might be needing less backlinks)
4) the authority of your domain (generally, the more authoritative and popular your website is, the less backlinks you'll need to rank for subsequent keywords because your domain's authority flows through your pages easier.... well, if you have your site structure done properly that is.... so, whenever you publish new posts you might get a slight boost in rankings because of your established site)
5) the onpage SEO of your content (I have seen pages without authority outranking really powerful pages, and only because they've had great and well optimized content, both for readers and google. So, if you get your onpage SEO right and you're passing google's checks you are going to rank without backlinks... or with a minimum number of them anyway. But again, there's no definite number for how many backlinks you need to rank, it depends on too many variables)