Wow - NEVER go into a spa, new or old, without knowing the status of the water in terms of sanitation and water balance. Shame on your dealer for not including a set of start-up supplies or at least balancing your water upon delivery! Let's hope your tap water had a good strong level of Chlorine out of the hose!
You have owned a tub before... You should know better than this!
(I'm 'scolding' you for your own good here...
)
OK - all kidding aside, you really should not have taken the chance. Tub was hopefully water-tested before you got it, and can have all sorts of fun things in the tubing, mostly from the time it spent wrapped in shipping/handling after it left the factory. It might very well be easier to start fresh. Changing water is not a really big deal - it can easily be cheaper than dosing up with a whole lot of other chems. I think I saw a similar post on another forum, so you may have this tub nicely balanced by now, (and I hope you are getting to enjoy it
) but it really is easy.
At least it WILL BE - like anything else, it will take a few weeks to get into a pattern which will make it easy. And I have recommended for years that our customers do a one-time water change at the end of the first month of ownership. This so-called "Chas' Law" really seems to make things go much easier. In that first month you do have much more to contend with, from things left in by the tub maker to the skin oil which gets deep-cleaned out of your skin ( a very nice side effect of tub ownership ) to the 'learning curve' of owning a new tub, even though it sounds like you have had one before.
Most of all - enjoy your new tub! Welcome to Spatopia!