When you say pressure on your front teeth do you mean the top or bottom teeth? either one imo, is a bad habit to get into and neither should have any pressure at all. In fact, people can and will debate on if using a double lip embouchure is proper or not, which involves not just the bottom lip cushioning the reed, but both the top and the bottom lip acting as cushions enclosing the mouthpiece, and thus with no teeth resting on it. Hardly no one will advocate lower teeth applying pressure, but newer players often do this, because lets face it, we are all used to using our jaws throughout life, but not our embouchure muscles...those have to be built up and stabilized, and it takes time, so until they are new players try to cheat/compensate because they want to 'play songs' which sort of fakes them into thinking they are becoming better quicker at playing....I disagree however. on the surface it does, yes...but it can lead to bad habits which inhibit actual growth in the long run.
drop your jaw and force yourself to use your embouchure even though you will be lousy at 'playing' at first (honestly you are going to be lousy at first anyways, unless you are just mystically some prodigy or something...god I hate those....little brats....heh I jest....sort of....)but you will and as you noted already have, improve with more time on the instrument.
If there is pressure on the top teeth, you have your strap set way to high.
Even though everyone's goal is to play music, I'm of the belief your goals right now as a beginner should be to master the fundamentals and with those...you will be able to play music. Depending on sheet music (almost all new players immediately run around in a massive grab of all the sheet music they can get a hold of it seems, and they fail to often realize the real goal should be mastering the playing, not just being mediocre at a bunch of songs.) and trying to take short cuts, seems like it is working, but it honestly will hold you back and stunt you. IMO anyways.
Long tones, correct posture, correct breathing, tonguing, timing, finger dexterity, and articulation with mastery of the full scale of the instrument will get you to where you want to be. You will reach plateaus and seem to not be gaining as much as quick, but then suddenly you will find you can do things and sound better you were unable to do before. It just seems to be the way it works, with almost everything. It is funny because the videos of people playing never show all the hours and years they spent doing the boring stuff to get there.