For the sickness, well, you've already said you didn't wash your hands after setting up the tank, before eating so theres any number of bacteria you could have injested that way, but also what were you doing before you setup the tank? There are numerous places / activities that could have meant that you got something 'unwated' in your stomach, so your body has a good clear out. the way I see it you missed two important points:
1) Wash your hands after dealing with the tank, anything to do with the tank, medications, treatments etc.
2) Wash your hands before eating
Thats 2 oppurtunities that you missed, when you should have washed, so perhaps just "bad luck", and use this as a reminder to wash your hands next time! - lol
Get well soon
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As for the bacteria in a bottle, and manufacturers lying, there is already a link above to the previous dicussion, but in summary;
Manufacturers aren't lying, there IS bacteria in the bottle, just not the bacteria you are expecting. There isn't A-Bacs (Ammonia converting), or N-Bacs (NitrIte converting), as has already been established, they can't survive in the bottle.
What is 'apparently' in the bottle is bacteria that will breakdown food / plant waste into ammonia. Therefore this bacteria DOES aid the Nitrogen cycle, just at a stage earlier than anyone fishless cycling normally looks. Of course if you are fishless cycling a tank with no plants there will be very little for this bacteria to work on, hence no 'acceleration' of the cycle. If you are doing a fish-in cycle then this product will help to convert the left over food, fish waste etc to ammonia faster than would normally happen to start the cycle, (but for a group that are so paranoid of the ammonia levels when fishless cycling is producing more of it, at a faster rate something we really want to be doing?).
I was 'caught' in the trap of buying this stuff, and the first time I felt sure it had speeded up my cycle, but that was on a tank with plants in it, and old tank gravel, (been dry for about 10 years, but still full of various organic bits), so perhaps it worked on that a bit. On my most recent tank I added it and it really doesn't seem to have made a difference, but that is using 'virgin' gravel, 'virgin' ornaments, and no live plants (yet).