I would say the equipment should be fine, after all, plastic seems to last forever! Just give everything a good cleaning and inspection. Do not use abrasives on the plastic that would create microscopic hiding places for ichy things to grow.
If you plan on continuing your brewing hobby I would go for a traditional 5 gallon extract kit of something you like to drink. Something simple, not a lager. This will get you more in the process without any more difficulty than a 20 minute boil kit other than time.
Start saving bottles unless you already have a leg set up. You will need a little over 2 cases and you have about a month to save them up. If necessary recruit your friends to save their's as well! After all they will want samples! After you brew your first, get thinking about planning your second so you can start a pipeline because those first 2 cases will not last as long as you think
Remember that sanitizing is the first most important thing you need to get a handle on so get some PBW to wash and clean and Star San to sanitize. The kit you select should have everything else you need for your first batch.
Read the directions but don't necessarily follow them, forget about the 1 week primary, then secondary thing, just keep it in the primary for 3 weeks. Patience is your friend! Pay careful attention to your fermentation temperature. Scope out the house and find a spot that is a nice 60-65 degrees as a good range for ales.
Remember to read the stickies on these forums as a lot of beginner questions have been answered there quite well! Most of all, have fun and welcome to the world of home brewing, we're here if you need us!!