mind eraser three wise men four horsemen
Oh dear God no. I mean, sure, that one's great if all you're interested in is not seeing your 22nd birthday, but for all other purposes, that drink is just evil.
I'd recommend Jack and Coke or rum and coke. Definitely get a shot of whiskey neat; Irish or Canadian are the easiest drinking, so Jameson or Crown Royal are your best bet. Pace your night so the stronger drinks (shots, AMFs, Caribou Lous, etc.) are towards the beginning of the night; this way, you'll get tipsy/drunk relatively quickly and the rest of your drinking can merely be maintaining that feeling. "Beer before liquor, never been sicker" is a very reasonable rule to follow your first time out.
Also, don't load up on sugary drinks. They may "taste better," but they will increase any hangover effects by a factor of a billion. Don't be afraid to order classics like margaritas or martinis; there's a reason they're classics, and you're supposed to sample a bunch of things on your birthday. But whenever you're at the bar ordering, know what you want in advance. It's OK to ask the bartender for suggestions, but really, you should be confident in your drink selection. And never order a "vodka martini, shaken, not shtirred;" it's an old shtick and it's tired.
And, the most important rule; when it's your birthday, you pay for exactly nothing. If your friends aren't willing to pony up the dough to put you in the hospital for alcohol poisoning, they aren't your real friends.