Let's take this one question at a time. To begin, even though I will give you advice based on the 2005 edition of the National Electrical Code, first step is to contact the local municipality, or Authority Having Jurisdiction, to see what they want. AHJ rules, every time.
Spas, hot tubs, and the like are governed by Article 680. If you wish to install a sub-panel, that is permissible, but not necessary. Should you wish to do so, additional articles apply. Since you state that your existing panelboard has adequate space, you may install a branch circuit to serve the hot tub, provided that said circuit is installed in a manner consistent with the wiring method chosen.
Without knowing the equipment you desire to install, and seeing it's factory installed connection means, it is difficult to offer good advice. Some hot tubs and spas are meant to be cord and plug connected, others are meant to be hard wired, and some are convertible.
Distances from waterline to receptacles, light fixtures, and such compel me to visit every site prior to offering a firm quotation.
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There ain't nothin' more powerful than the odor of mendacity -Big Daddy
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