If you need a refresher on any of the fingerings (and alternate fingerings) check out the Saxophone Fingering Chart
Knowing Major Scales will also help you play a lot more music easily. If you have learned a few and can play them comfortably, try playing those that are less familiar. Use them to play music. You can play a ton of music just by knowing a C major scale.
Working on technique will make everything you play better, so check out the Lindeman exercise. To be honest, it’s not that much fun. But if you spend a few minutes on it everyday, it will change how you play.
Don’t worry about altissimo in the beginning stages.
DO learn tunes you like. I would recommend you get a method book.
Here are a couple tunes that I used in the book I put together.
Twinkle Twinkle (PDF, right click and save as)
twinkle_twinkle_alto (mp3, right click and save as)
twinkle_twinkle_tenor (mp3, right click and save as)
Loch Lomond (PDF, right click and save as)
Slow recording on tenor, tenor. saxophone_tribe_loch_lomond_slow_tenor (mp3, right click and save as)
Faster recording on tenor. saxophone_tribe_loch_lomond_tempo_tenor (mp3, right click and save as)
And send some recordings my way to get some feedback!