You must have had a bad spring on the G# or maybe some interference with the G/G# trill key, mine plays like butter.
@PenelopeTX, this has not come up yet in this thread, at least I don't think it has but the older horns have what is called a G/G# trill key that you operate with the right index finger. Modern horns don't have that key and unless you press the G# key on the left hand pinky table, it is kind of flopping around, it's the little one in this picture:
I recently acquired this saxophone that belonged to my grandfather. Sadly, the restoration quote for repad/cleaning is over $1k. I did manage to squeeze out a few notes just fine. No idea how to play whatsoever though yet. I’m wondering if I could use this gently as a beginner instrument...
cafesaxophone.com
If you press the G# key, the cup/key will open and at the same time the trill key will be raised and you then can trill between G and G# with your right index finger. Make sure you familiarize yourself with the mechanism before you take it apart. I have met a bunch of techs who had no idea what that thing actually was. Take 10x as many pictures as you think is necessary. It is not really complicated, just something that does not exist anymore in past 1935ish horns. .