For this chapter, your main goal is to publish your second issue which you'll be doing in succession. Just keep following the goals that pop up as you go along. Julie will offer to start your first party for you, remember to always have a photographer and a journalist in your parties - because you'll never know when you might score some content.
Pick a theme and a time - you can have Julie randomly pick people or pick them yourselves. Your choice. When they're at the party, keep them entertained and make sure that you strike up relationship with people you want to ask content from, and have your staff develop a rapport with them too. If you don't want to do it now, make them part of your Inner Circle and invite them to the mansion afterwards.
Pick a target demographic and ask for an essay, (you'll be paying for this) and get 3 points for this objective (a good one earns you a bonus 2). Same goes for your photo shoot, ask a female guest - introduce her to your photographer get things going and start taking photos - 3 points for main goal bonus 2 for job well done. Ditto on the interview!
Now when this is done, get your journalist and photographer's drives up - and make them write an article and do a pictorial. Always have one universal theme! All that's left is securing a Playmate, getting a good centerfold photo and shipping your next issue to complete this mission!