MY character is a fashion fledgling and has been offered 2 jobs outside the salon. But when I get to the person's house, there is no option to give them a makeover when talking to them, nor is there a place to give them a makeover in their house. What am i supposed to do?

When you speak to them, there should be a 'Fashion' bubble, to which you pick "Offer Makeover" as far as I know.
My fashoinista sim has been at level 10 for a while now and I don't recall doing it any other way.

Yes, you have to introduce yourself first. Then when you click on the sim in question, the typical yellow-colored option(for opportunities and jobs) should be in the menu.

I got tired of directing my sim all over the town willy nilly, but I really hate it when the neighborhood sims have atrocious fashion sense. So I just use Twallan's master controller and click the 'stylist' option whenever my sims come across any said fashion disasters. :p

I clicked the fashion bubble, but all that shows is: Compliment Fashion, Insult Fashion, and Talk about Fashion >.<

Try going to map view and clicking on the job bubble over their house. This sometimes restarts the process. Once they've given you a complaint / request bubble (upper right of screen, dialogue type) you're good to go and the fashion option to offer makeover should be there.

Also, the job highlights have a way of turning themselves off. In your character's work tab, on the lower left, will be a little show-jobs / active job button. Be sure to turn it on to get an overview of the job's requirements. You'll be notified in CAS as well, but having this option turned on will let you know you're on the job-site and ready to offer a makeover.

HTH